I haven't seen any posts that say the battles are desyncing. I have seen a couple of posts where people said their BI replay did not play the same as the original battle. I haven't seen anything about RTW playback being incorrect. An incorrect playback can be caused by a particular unit type. Since there are no new units types in RTW, I would expect those replays to be ok.
I saw some posts where players said they had severe lag in night battles, but other players posted that they had no lag in night battles. It would seem that severe lag is computer specific.
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