I wonder, where does this information come from? Do you think that if you repeat the fight with the same intervals between turns (I wonder to what degree of precision) the morale will be the same? I am absolutely not sure about that...

Lol! :D I have no more questions (c)
There is a concrete example that will convince you. For example, a fight with Phoenixes. There are 4 stacks of them. You attack and the third stack gets morale. When replaying the fight, this morale will appear every time! And why? Because you didn't take a turn, and the time between the bot's actions is const = 0
A couple of offline tournaments for General development wouldn't hurt. ;)

But the delays there depend on time in milliseconds... you won't catch it ;)

I used to play with a stopwatch and it worked. Luck in this regard is much easier to catch.

P.S.: I think everyone knows about the Pikemen in the camp. I'll take a guess that the monster number is chosen randomly there (and not truly randomly, it depends on the week), and under certain factors it resets for some reason (Pikemen are known to have number 00, Halberdiers 01, Archers 02, etc.) while there might be 1, 2, or for example 16 of them — so the quantity is preserved, but the monster type resets. In other words, if you get 1 Pikeman, it means there was a level 7 monster there.

P.P.S: About Crag Hack. This company "Rubi and Kramsay" even played in the HeroesWorld tournament. I finished the first mission in 8 days. There, Crag Hack was given 1000 experience at the start, i.e., second level. Therefore, when reloading a save, a random skill was obtained. The hardest part there was timing Diplomacy correctly, because at the first level, Crag Hack has 1 tree for Diplomacy out of 255 possible. Most often it's Tactics or Logisitics (26 each, I think)