I just ran a sim for a BTN vs CO 3bet pot. The button cbets AA on Q97r, and mostly checks it back on an 8 turn which brings a flush draw. On an offsuit 2 river, PIO sometimes checks and sometimes bets AA, and I can't understand why.

Especially the way the hand played out, I would have thought it would be well above our value threshold.

Is it that in theory if we bet all our potential value bets we don't have enough bluffs, and therefore villain should always fold his bluffcatchers?

If so, can we safely ignore this vs humans?

Here is the output for the river. To recap - we 3bet BTN vs CO, cbet 1/3 on flop, check back turn, and are now deciding whether or not to bet river for 75% pot.