Louis,

The game didn't resync. What happened is that your replay was saved on your opponet's machine and his replay to yours, but his memory of 'his' battle is faulty as you say.

The desync does open up new possibilities for discussion such as: Is playing against a desyned human player better than playing against the AI? Does it matter if elephants desync when they are running amok? In a shootout, does it really make a difference which men in the unit die as long as the same number of men in the unit die on each machine?