[naphand]

I agree about using the opponents aggression against them but it is still less profitable to CR the flop than the Turn. With an opponent who will bet-bet the flop and Turn (standard line) you can extract more on the Turn. IF, however, your Turn CR is going to get folded, then the flop CR Turn bet line is clearly better but only IF you anticipate the Turn bet will also be called.

The standard line with (clean) overs is also to raise the flop with position. In which case, against this type of player a bet/3-bet line is preferable to the flop CR.

If your standard line is to CR flop bet Turn, why? What is the purpose of using this line over the others? It is certainly the easiest line to take as, as has been mentioned, most PFRs will auto-bet the flop (correctly) so we can be assured of a CR. But this is not the most profitable line for many opponents, is it?

It seems to me we are better at least trying the bet-bet line against some players to judge how they respond to this. If they auto-raise with overs we 3-bet.

The situation regarding players stealing with complete trash, then even the flop CR is not clearly the best line. If they have trash and we have a pair, they bet the flop we call and maybe they bet the Turn too. If your pair is reasonably good then we might get into a very profitable spot if PFR pairs his trash on the Turn (he will call our CR). With trash we get a bet off them on the flop, but they fold to the CR so CR just wins the pot straight away when we have the best hand and we lose the possibility of extra bets on the more expensive streets.