PF alone, if I felt that villain was loose enough to 3-bet with a weaker ace, small PP (66-TT) range and is really trying to push you around, then there is definitely merit to continue to be the agressor instead of villain. When you continue to be the aggressor, villain should be giving you more credit for your hand than you are for his and that's definitely in your favor even when you don't hit.

The cap saves you the trouble of calling or raising a flop bet from his 89s when you have no idea if you would only be drawing to your gutshot. Maybe the real pay-off of slowing him down is when you begin to 3-bet his PF raises?

I'm only asking so many questions b/c I like the play.