Draugnar - i'm struggling to undestand your rational (which isn't a bad thing from your point of view, as it makes you hard to read I would imagine).
Suppose Daniel Hegraneau had played your hand and called with 2s. When she shoves on the flop there is now $300+ in the pot, it is $100 to call and he gets to see 2 cards. Suppose the flop is T73 rainbow. Whilst Daniel knows he is behind to AA, KK, QQ. JJ, 99, 88, 66, 55, 44 and he only has a 8% chance of overtaking these hands - he also knows she would push with AK, AQ, AJ, A9, KQ, QJ, J9, J8, 89, and he is either 71% ahead or only 45% behind to the open ended draws. For completeness he is almost drawing dead against TT, 77, 33 unless he hits perfect perfect but then she probably wouldn't push with those hands. The thing is there are far more permitations where he is winning or only just losing than there are circumstances where he is a big underdog. As the pot is offering 3:1+ odds, his call can be correct. He probably wouldn't get himself into a position where he was so pot committed with such a bad hand, but if he was in that position, his call would be correct - marginal yes, but correct all the same. One could argue that it would be more correct in tournament play depending on relative stake sizes, the blinds and antes and how far into the tournament he is.
I'm sure someone could give precise maths as to the odds and permitations after she pushes on the flop.