A program for determining luck/morality in Heroes 3!

I absolutely disagree! Apparently, you haven't encountered a map that requires perfect turn management. Even if a player wins all battles without losses, they might fall behind the leader by a week because they went to the wrong place or at the wrong time... For example, Best of the Best 2007, the last Heroes of Might and Magic General tournament.

There are also counter-examples – the last Heroes of Might and Magic Tournament, where the key moment was generating a battle on the 1st or 2nd day, and the remaining 9 days were spent running around the map.

Every tournament has challenging battles. Morale and luck on each turn are not indicators of skill. In my opinion, generating battles is as routine a process as hero-camping, skill tree progression, and killing hundreds of slow units with a ballista. Only for all these actions, automatons have been invented, while battles still have to be generated manually. The monotonous repetition of tedious actions can kill any enthusiasm. Of course, turn management is essential and a much more complex process, but often, morale generation also becomes a filter for weeding out players!