@Alexandermb's trot animations look great in DE. A little slow [actor animation speed], but the motion is awesome. I'd use it for heroes and heavier/slower/melee cavalry. The existing run in public right now I'd use for my Scout Cavalry and Ranged Cavalry.
Suggestion for the variants.
The trot variant could be base_horse_slow, while the current variant that looks like a slow run could be base_horse_fast. Figured faster ranged/scout/raiding cavalry could use base_horse_fast, while heavier cav units such as champion and hero cav could use base_horse_slow.
While the guys on the right look accurate enough, the ones on the left look like they have some serious Parthian influence. I don't think that's what the Battle of Raphia and Magnesia's Seleucid cataphracts looked like at all.