D11 doesn't really work, because after atari, it is nearly in a net. At least certainly not without making a crude exchange of D15 for E15.
D9 is clever.
Tenuki for the B groups is fine as B16 can be met by B15 after which W has some cutting points at C16 which become exposed if W wants to force with B10, so it likely becomes gote. In the worst case, B can add a move at A14 without losing too much. And the lower left B group is safely alive, so B10 isn't particularly big either to threaten it.
However if B eventually must connect at A10, then W has B9, B8 in sente, which happen as soon as W plays B16 pretty much. Given that, W B16 is the best local move, much bigger than B10, we expect it for evaluation. In that case D9 for C9 is an excellent exchange.
W does owe a move to defend the cuts as it is in the middle of W's big potential (with potential to destroy both above and below), it concerns B's C15 group, as well as the D15 cut and D5 also. With K4, the lower left W wall isn't alive and doesn't even have room to make much of a base.
Finally, if W tries to resist with B10, then B is content to play the big move at B17 to live. W B2 remains not sente because B can crawl B8 in sente. Most importantly, later, B can play something like E5 with more power because there are more undefended cuts at C9 and D11. Even just jumping out around G9 may become interesting. Or sometimes even D5 directly (though locally net now).
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As far as I can tell, the main question mark is if W can play B16 (fighting spirit). If B can only block B15, it seems like a good exchange, though W could get that anyway. However, if B can play C9, then perhaps W B16 simply doesn't work. It looks tricky though.
In this case fighting spirit means not getting forced into bad shape when you have a weak point (C9) that might be defendable by leaning on your opponent's weak point (the group not 100% alive), perhaps before taking gote to defend. It can go wrong if your weak point is bigger or faster (less moves to activate) than your opponent's. This judgement is tricky.
This is another alternative variation I am thinking about. Evaluation isn't easy.
$$c Black to play
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . O O X O . . . . . . . . . . . . . . |
$$ | . O X O . . . . . . . . X . . . . . . |
$$ | . O X , O . . . . , . . . . . X . . . |
$$ | . X X . . . . . . . . . . . . . . . . |
$$ | O . X O . . . . . . . . . . . . . . . |
$$ | . X O O . . . . . . . . . . . . . . . |
$$ | . X X O . . . . . . . . . . . . . . . |
$$ | . X O . . . . . . . . . . . . . . . . |
$$ | . X O , . . . . . , . . . . . , . . . |
$$ | . X O X . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . X O . . . . . . . . . . . . . . . . |
$$ | . X O . . . . . . . . . . . . . . . . |
$$ | . X O . . . . . . . . . . . . . . . . |
$$ | . . X O . . . . . X . . . . . X . . . |
$$ | . . X O . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ +---------------------------------------+
- Click Here To Show Diagram Code
[go]$$c Black to play
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . O O X O . . . . . . . . . . . . . . |
$$ | . O X O . . . . . . . . X . . . . . . |
$$ | . O X , O . . . . , . . . . . X . . . |
$$ | . X X . . . . . . . . . . . . . . . . |
$$ | O . X O . . . . . . . . . . . . . . . |
$$ | . X O O . . . . . . . . . . . . . . . |
$$ | . X X O . . . . . . . . . . . . . . . |
$$ | . X O . . . . . . . . . . . . . . . . |
$$ | . X O , . . . . . , . . . . . , . . . |
$$ | . X O X . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . X O . . . . . . . . . . . . . . . . |
$$ | . X O . . . . . . . . . . . . . . . . |
$$ | . X O . . . . . . . . . . . . . . . . |
$$ | . . X O . . . . . X . . . . . X . . . |
$$ | . . X O . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ +---------------------------------------+[/go]