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I wanted to ask about "Valley of Heroes" right away: does it not have Admiral's Hat, Boots of Swiftness, and Rider's Gloves? And if so, maybe it's possible/necessary to increase move points by using the bug of recalculating remaining movement points when mounting and dismounting?
Added 6 minutes later
Regarding Les prémices de l'Apocalypse, I found the reason for the problem. The map is old, so there was no talk of playing it with HD+ enabled. The thing is that the hero La DISCORDE doesn't die from the phoenix event when HD+ is turned off. I observed a similar situation on the Xiedu map, where the enemy hero also had to overcome an ambush event and only survived if HD+ was disabled. That's quite a thing.