Matt Damon's problem was placing his opponent on cards (not even really placing him) without giving himself time to read KGB. Was it wise to not check to KGB? Maybe not as it pans out, but if Matt Damon was looking for value with his top two pair (aces and nines) then he's achieving the desired result. He knew KGB would believe he was bluffing when he bet more chips. Matt Damon knew his opponent better than we do. In my completely non-expert opinion, while having just seen the movie earlier today: Hero shows Ac 9c, full house 9's over aces and mucks losing a pot of $71'000 (-35'500 net)
KGB shows Ah Ad, full house aces over 9's winning a pot of $71'000.