HoMM3 HD is a mod (add-on) for the game Heroes of Might and Magic 3.

Back then, I checked, and the morality in quick matches definitely mirrors real-life situations, just like in replays. Is there a save file to confirm this?

I actually showed this on stream; I might still have the save file somewhere, but what's the point? It takes 5 minutes to create a map with 4-5 clues. Anyone interested can test it themselves.