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This type of situation where we appear to be betting for value but would like our opponents to fold certain hands that are behind happen more often than people think.
A relatively common example is something like a flop of Ks9s8s with AsTc against a low PP holding no spades. We are roughly a 57/43, but with SPRs of 1 or less we're shoving hoping that he folds these types of hands, realizing that if he calls we're still ahead.
I agree that a similar situation can happen while we're playing, but we're never betting just to get our opponent to fold their equity. We're usually betting either for value or as a bluff, and the fact that our opponent sometimes folds his equity when he shouldn't means our bet is a little bit better than if he didn't.
My main point is that most examples you can come up with where the only reason we're betting is to get our opponent to fold his equity share (when the correct play would be to call) are unrealistic. In the example you gave, how do we know he has exactly "a low PP with no spade". If he's a professional short stacker he probably wouldn't be playing low PP's with such a shallow stack. The only other way he would get to the flop with a low PP and a SPR of 1 is if he's a fish, in which case we can never know with certainty what his exact range is. Even after thousands of hands with someone I don't think we can come close to knowing someone's exact hand. And if we can't know someone's exact hand, we're playing against a range of hands. Which means that we're either value betting or bluffing against that range, but against certain hands in that range we're just hoping he folds his equity.
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