I was going to post here after getting back from work today but looks like Cassandra beat me to it. But I guess I can still make it human-explainable.
Older networks for KataGo have trouble seeing this move, yes. Newer katago networks should find it okay, especially if you are using the settings recommended for analysis. These settings will probably be made default for analysis in the next release.
And yes, at least in Kata's opinion, the tesuji is a good way to refute the immediate previous black move, but if black plays a better move, white actually should not play the tesuji. Unlike the extreme case of igoh120, there aren't any super-sharp tactics after this is resolved, so score and winrate should behave a bit more smoothly and robustly for judging these relative lines if you play them fully out.
So firstly, the game move:
- Click Here To Show Diagram Code
[go]$$Wc Black's
mistake, now
tesuji becomes very good.
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . . . . , . . . . O X . . . |
$$ | . . . . . . . . . . . . . . . O . . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , O . . . O , . . . . . , . . . |
$$ | . . . X O . X . O X X . . . . . . . . |
$$ | . . O O X X . O X O X 2 . . . . . . . |
$$ | . O O X X . . . X O 1 X . O . . X O . |
$$ | . X O X . O . . . . . . X O . . X O . |
$$ | . O X O . X 3 X X O . X O X . X . . . |
$$ | . O X O . . X O O O O X O X . X O . . |
$$ | . O X O . . X O X . O O O O X X O . . |
$$ | . X X X . . . X . X . . . X . . O . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
And KataGo gives this as a continuation:
- Click Here To Show Diagram Code
[go]$$Wc Black's mistake, continuation
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . 9 . . . |
$$ | . . . O . . . . . , . . . . O X . . . |
$$ | . . . . . . . . . . . . . . . O . . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , O . . . O , . . . . . , . . . |
$$ | . . . X O . X . O X X . . 8 . . . . . |
$$ | . . O O X X . O X O X X . . . . . . . |
$$ | . O O X X . . . X O O X . W . . X O . |
$$ | . X O X . O 4 . 5 7 6 . X W . . X O . |
$$ | . O X O . X C X X O . X O X . X . . . |
$$ | . O X O . . X O O O O X O X . X O . . |
$$ | . O X O . . X O X . O O O O X X O . . |
$$ | . X X X . . . X . X . . . X . . O . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]

is urgent to stop white's two stones from jumping out and giving black two weak groups, and white takes sente.
Instead, black should play this way:
- Click Here To Show Diagram Code
[go]$$Wc Black's better move
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . . . . , . . . . O X . . . |
$$ | . . . . . . . . . . . . . . . O . . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , O . . . O , . . . . . , . . . |
$$ | . . . X O . X . O X X . . . . . . . . |
$$ | . . O O X X . O X O X . 2 . . . . . . |
$$ | . O O X X . . . X O 1 X . O . . X O . |
$$ | . X O X . O . . . . . . X O . . X O . |
$$ | . O X O . X . X X O . X O X . X . . . |
$$ | . O X O . . X O O O O X O X . X O . . |
$$ | . O X O . . X O X . O O O O X X O . . |
$$ | . X X X . . . X . X . . . X . . O . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
If white tries the tesuji now:
- Click Here To Show Diagram Code
[go]$$Wc Black's better move, white unideal tesuji
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . 9 . . . |
$$ | . . . O . . . . . , . . . . O X . . . |
$$ | . . . . . . . . . . . . . . . O . . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , O . . . O , . . . . . , . . . |
$$ | . . . X O . X . O X X . . . . . . . . |
$$ | . . O O X X . O X O X . X 8 . . . . . |
$$ | . O O X X . . . X O O X . W . . X O . |
$$ | . X O X . O 4 . 5 7 6 . X W . . X O . |
$$ | . O X O . X 3 X X O . X O X . X . . . |
$$ | . O X O . . X O O O O X O X . X O . . |
$$ | . O X O . . X O X . O O O O X X O . . |
$$ | . X X X . . . X . X . . . X . . O . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
Same result as before, but black captures the two white stones with *much* thicker shape. The improvement from this capture over the looser capture is not small, KataGo puts it at 17% winrate and 6 points!
White is still winning this game, but relatively speaking, this result is good enough for black that actually KataGo prefers *not* playing the tesuji for white. Instead, white should just push through and make life locally:
- Click Here To Show Diagram Code
[go]$$Wc Black's better move, white's best response.
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . . . . , . . . . O X . . . |
$$ | . . . . . . . . . . . . . . . O . . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , O . . . O , . . . . . , . . . |
$$ | . . . X O . X . O X X . . . . . . . . |
$$ | . . O O X X . O X O X . X . . . . . . |
$$ | . O O X X . 6 4 X O O X . O . . X O . |
$$ | . X O X . O . 5 3 . . . X O . . X O . |
$$ | . O X O . X 7 X X O . X O X . X . . . |
$$ | . O X O . . X O O O O X O X . X O . . |
$$ | . O X O . . X O X . O O O O X X O . . |
$$ | . X X X . . . X . X . . . X . . O . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
- Click Here To Show Diagram Code
[go]$$Bc Black's better move, white's best response, continued
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . . . . , . . . . O X . . . |
$$ | . . . . . . . . . . . . . . . O . . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , O . . . O , . . . . . , . . . |
$$ | . . . X O . X . O X X . . . . . . . . |
$$ | . . O O X X . O X O X . X a . . . . . |
$$ | . O O X X . X X X O O X . O . . X O . |
$$ | . X O X . O 1 O O . 3 . X O . . X O . |
$$ | . O X O . X O 2 . O . X O X . X . . . |
$$ | . O X O . 5 X O O O O X O X . X O . . |
$$ | . O X O . . X O X . O O O O X X O . . |
$$ | . X X X 7 6 4 X 9 X 8 . 0 X . . O . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
And now white is alive. If you find it a bit surprising that this is better for white than the tesuji line, I think it's instructive to add a black stone at "a" (NOT the correct next move for black, but instructive) and compare.
- Click Here To Show Diagram Code
[go]$$Wc Tesuji result (white to play next)
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . . . . , . . . . O X . . . |
$$ | . . . . . . . . . . . . . . . O . . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , O . . . O , . . . . . , . . . |
$$ | . . . X O . X . O X X . . . . . . . . |
$$ | . . O O X X . O X O X . X X . . . . . |
$$ | . O O X X . . . X O O X . O . . X O . |
$$ | . X O X . O X . O O X . X O . . X O . |
$$ | . O X O . X . X X O . X O X . X . . . |
$$ | . O X O . . X O O O O X O X . X O . . |
$$ | . O X O . . X O X . O O O O X X O . . |
$$ | . X X X . . . X . X . . . X . . O . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
- Click Here To Show Diagram Code
[go]$$Wc Local life result with black adding one more stone (white to play next)
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . . . . , . . . . O X . . . |
$$ | . . . . . . . . . . . . . . . O . . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , O . . . O , . . . . . , . . . |
$$ | . . . X O . X . O X X . . . . . . . . |
$$ | . . O O X X . O X O X . X X . . . . . |
$$ | . O O X X . X X X O O X . O . . X O . |
$$ | . X O X . O X O O . X . X O . . X O . |
$$ | . O X O . X O O . O . X O X . X . . . |
$$ | . O X O . X X O O O O X O X . X O . . |
$$ | . O X O . . X O X . O O O O X X O . . |
$$ | . X X X X O O X X X O . O X . . O . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
I think the key points that make the local life result slightly better are:
* White is NOT alive in the tesuji result. White's group, despite poking out into the center, has no eyes anywhere, it only gets a half-eye as a result of the two dead black stones! (Black can falsify it in gote at H9). Black is very thick on both sides, so attacking white later is a real possibility.
* In the local life result, white is now safely alive. White's two stones at J9 are not connected, but their value was not high to begin with, since in all variations they are only cutting groups that are strong or alive.
* White has gained a lot of endgame value at the bottom due to the sacrificed stones at G2.
Lastly, if the local life result is so great, why can't white play it also when black plays the solid connection?
Because there is a risky sequence where black can go for the kill:
- Click Here To Show Diagram Code
[go]$$Bc Risky sequence depending on which black circled stone is there
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . . . . , . . . . O X . . . |
$$ | . . . . . . . . . . . . . . . O . . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . 7 . . . . . . . . . . . . |
$$ | . . . , O . . . O , . . . . . , . . . |
$$ | . . . X O . X . O X X . . . a . . . . |
$$ | . . O O X X . O X O X B B b . . . . . |
$$ | . O O X X . X X X O O X . O . . X O . |
$$ | . X O X . O . O O 6 1 . X O . . X O . |
$$ | . O X O 4 X O . . O . X O X . X . . . |
$$ | . O X O . 2 X O O O O X O X . X O . . |
$$ | . O X O 5 3 X O X . O O O O X X O . . |
$$ | . X X X . . . X . X . . 8 X 9 . O . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
Black barely escapes with

, and that group is still fragile. Next white runs out around a or b. White's inside group has a lot of liberties, and black has three weak outside groups to manage. With the hanging connection, black's shape is worse for liberties, and with three weak black groups and bad black shape on the middle group, KataGo is relatively confident that white can kill something or capture some piece to live. With the solid connection, KataGo isn't sure.