Complete+HD mod: units move slowly during combat.

The main thing to remember, and why you shouldn't play SoD RPG-style maps in HotA or WoG: in these mods, the rules and gameplay differ from SoD, and in some aspects, they are fundamentally different. For example, in HotA, if a spell is globally prohibited on a map, it won't even appear in the spellbook of the corresponding element or with the Wizard's Hat. There are also differences in water movement: for example, on another map ("Ray of Light"), there is a garrison behind the water, which can only be reached by walking on water; you can't disembark from a boat there, and we don't even have a boat at that stage of the Challenge. The garrison is located right at the edge of the shore; you need to reach it, defeat it, and stop. In SoD, everything works normally, as intended by the author, but in HotA, it won't work because a free cell is required. And in WoG, there are many things that change the gameplay, WoG settings, and even the possibility of WoGifying the map at the start: in this case, some objects are replaced with others (WoG objects). There are many such examples, but people keep stubbornly running into these problems.
Maps specifically designed for HotA and WoG have been created. If you want to play with the objects and rules of HotA or WoG, play those maps.
Finally, regarding Mike's stream of "Paragon": I took the time to find this video. From the very beginning, it's clear that he has a FULL SET! Where exactly does he say that the map can be played in HotA or WoG?

the maps from the campaign are so poorly made that 90% of the SoD campaign is completed using the Dimension Door.

Where did you get the Dimension Door from? What the...? I'm too lazy to delve into the standard campaigns, but if it's not in "The Rebirth of Erathia," then Flight and Dimension Door are definitely disabled there (in the editor of the "Rebirth" version, it wasn't yet possible to disable individual spells).