All right, so you are saying that, in general, when it is a 45%-55% postflop heads-up, both players should go ahead and get all-in right away? Seems counterintuitive (or logically false, as in: a = ~a).

I believe if you run this same scenario over 10000 hands with the exact same stack sizes and actions, the person 45% behind will end up losing 5% of his money over the long run. It gets even worse if your ace is a counterfeit. That is trivial though, so I doubt it is what you are saying.

Maybe I am missing something, since I don't see three players in the pot, though (only two people are acting postflop). Start getting pot odds (particularly if someone else is on the K-flush draw), and then it changes.