it did happen and it wasnt uncommon as /u/Quiet_Lee_Concerned mentioned, in those times a horse represented a valuable commodity that if you could capture uninjured you coudl either use it combat for yourself or sell it off as a beast of burden.
there is also the fact you dont necessarily want to get too close to a horse involved in combat: its likely scared out of its mind(barely holding on because of the rider) and itss an animal large enough that if it panics it can fck you up(assuming that once it loses its rider it doesnt just run off).
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