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So, you copied the H5_Game2.exe file, which was posted here, into the bin folder, launched the game through it, and alternating turns are still enabled? Are you sure everything was done correctly, and both of you are launching the game through the correct executable?
Previously, at least, I didn't encounter such a problem: everything worked perfectly, and the heroes of different players could take turns simultaneously, even if their areas of interest overlapped significantly.