Interesting question Kirby. I seem to recall Bill saying that in general Go Seigen thought these kind of extensions were particularly big. Something to note is that if white gets that extension then black's corner is weakened a bit: if white later ends up living in the corner giving black a wall then the extension means black can't extend from his wall and may even need to worry about eyespace.
The position you posted is a rather complicated one, so instead I will consider this simpler position that came up in an
OGS game of mine (I'm white) and I studied what pros did a bit:
- Click Here To Show Diagram Code
[go]$$Bcm5
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . b . . . . . |
$$ | . . . O . . . . . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . c . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . . . , . . . |
$$ | . . 7 . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . 3 . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . 1 . . |
$$ | . 5 . O . 4 . . . , . . . . . , . . . |
$$ | . . 6 . . . . . . . 2 . . a . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
The question now is do we play
a (20 pro games), or a move on the top side such as approach at
b (10 games), or approach on the right at
c (6 games)? As you can see
a is the most popular, but all of these choices black has a high winning percentage

. If we don't play it, then black's extension there is likely sente (Otaka and Kobayashi played this way):
- Click Here To Show Diagram Code
[go]$$Wcm12
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . 3 . . . |
$$ | . . . . . . . . . . 5 . . 1 . . 4 . . |
$$ | . . . O . . . . . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . 2 . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . . . , . . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . 7 . . . . . X . . |
$$ | . X . O . O . . . , . . . . . , . . . |
$$ | . . O . . . . . . . O . 6 . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
If we do get it, then later we can aim at moves such as
a to both grow our own lower side moyo and reduce a black one on the right (black can also aim at the same point or one to the left), though the shoulder hit at
b remains as a nice point for black to reduce, or the
c-f sequence on the left.
- Click Here To Show Diagram Code
[go]$$Wcm12
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . . . . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . . . , . . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ | . . d c . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . X e . . . . . . . . . . . . . . . |
$$ | . . f . . . . . . . . . . . a . X . . |
$$ | . X . O . O . . . b . . . . . , . . . |
$$ | . . O . . . . . . . O . . 1 . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
My opponent answered my 2 space extension with the big point on the right side which in terms of "bigness of gap" does look bigger, but strangely enough no pros played this way, they all played on the top side, mostly approaching at
a. I'm not really sure what to make of this. The game, which is still going, is rather close and I am not confident of winning which is a bit disappointing for me as previously I beat this opponent fairly comfortably. He made a big right side, and despite me spending a move on the lower side I didn't get a lot of points there. Maybe I just played too simply and didn't give him enough opportunities to make mistakes. Then again if I win by half a point I shouldn't complain too much.
- Click Here To Show Diagram Code
[go]$$Wcm12 Amateur game continuation
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . a . . . . . . . 3 . . . . . |
$$ | . . . O . . . . . 5 . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . 6 . . . . . . . . . . . . 4 . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . . . 2 . . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . X . . |
$$ | . X . O . O . . . . . . . . . , . . . |
$$ | . . O . . . . . . . O . . 1 . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
I'm not sure what conclusions to draw from my game, and the low white winning percentage in pro games, but I think next time this fuseki comes up I will try a different move and see how it goes. Or as it seems difficult to make territory on the lower side, I might play this way for thickness earlier on:
- Click Here To Show Diagram Code
[go]$$Bcm5
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . . . . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . . . , . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . 6 . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . 3 . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . 1 . . |
$$ | . 5 . O . 4 . . . , . . . . . , . . . |
$$ | . . . . . . . . . . 2 . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]