If you happen to have access to the turn files from the previous turn (as an example, your game is hosted on the Llamaserver), it wouldn't hurt to have the files sent to Illwinter for further study. Johan (the programmer) hasn't found the problem from the other files sent to him, but, well, what else can you do?
The replays aren't saved as video, but are replayed from the same random number in every computer. If anything changes the order (any action that was done on the host isn't done on your computer, due to death, fatigue, attack missing and not getting to deal damage...), the rest of the battle is different.