This is a lot closer than people are suggesting. Villain can, and should, play at least some other hands this way in order to isolate the short stack, besides just 66/44. Surely villain would c-bet at least some % of the time with 66 or 44, and probably with those stronger Ax hands too, as well as with some flush draw hands, so his check-raising range here is a little ambiguous.

I definitely don’t consider it out of the question that villain could c/r a hand like QsJs or KsQs here, and since you don’t block any of those types of hands it’s something we have to think about. I also think c/r a hand like AT here might be a decent play by villain if they think you’re likely to stab this flop with a non-nutted range, since it’s really tough for you to continue without a set, but AT is clearly way ahead of BB’s range.

I imagine folding is good here since it’s villain’s first hand at the table, but I think people need to be a little more wary of assuming that this line is super nutted when there’s a short stack in play, and we block a good portion of villain’s value (AA/AK).