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This doesn't make any sense; Heroes is a turn-based strategy game, and the whole idea of HotA is that players can take turns simultaneously until a meeting is possible. But there's another problem: sometimes HotA starts interrupting in the early turns, even when both players haven't even left their starting areas, and a meeting is impossible. At the same time, if you load an auto-save and extend the HotA, they usually interrupt again on the same turn.
Heroes 5 is a good example – HotA works in parallel in real-time.
Moreover, even in Hota, in online mode, you can see your ally's turns in real-time.