Personally, I didn't find any rules in the HotA guidelines that prohibit replaying your turn after the opponent loads an autosave. The rules only mention replaying a turn during a battle in case of a disconnection (game crash).
"In any case, when loading a save, players should try to repeat their moves as accurately as possible up to the point of disconnection."
"Совесть - она либо есть, либо её нет" (с) RedWhait HP