My horse archers were actually firing just fine, the problem was that the skirmishers could return their fire as soon as the HAs were at their max range. The height advantage of the HAs may have been ~4m to scale. So far I haven't experienced any problems with missile units firing from a height advantage, but as you explained it appears that the height differential has to be pretty significant. In my experience with the game even a slight height advantage can net huge tactical superiority with archers.
I figured it had to be a bug, but if there's ever a next time I'm getting a screenshot. Thanks for the input.
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