Quote:
Betting is not a mistake if the alternative is to check/fold the best hand or let your opponent improve a worse hand to a better hand on the next street.
Well, as I said, we avoid bet/folding the best hand by reading our villain and his range better, not by betting
per se.
Indeed, isn't this exactly what happens when we check to induce? We are specifically saying to villain: "I am going to use your aggression against you knowing you will bet the next street with a wide range". In this case, we are making a judgement about his bluffing/stabbing range when we check.
Why can't that the case in OP's example? Suddenly everyone seems to be saying that we become incapable of judging his bluffing frequency once we check. This doesn't have to be the case at all - we widen his range to account for our check and his aggression, and act accordingly.
Also, the issue of allowing someone to draw is different as we also make a FToP mistake if we do not bet enough to charge draws. If we could see the other player's hand, we bet exactly the right amount to make him draw incorrectly. Clearly, when a board is drawing checking to try to make value later is an FToP mistake of sorts. So I think allowing people to outdraw us is a separate subset of a problem.
BTW, clearly Sklansky and other good regs here are disagreeing with me, so I accept this is a gap in my knowledge I need to repair. Just arguing for the sake of argument.