Britain, in Vanilla, does have chariot archers. They are standard ranged, need a larg edeployment aream and only have 36 shooters (unless you superload) but their hitting power is in the Cretan clas, so they hit hard -- especially against the lighter armored opponents of the early game. Because they fire from up on chariots, they actually cause less fratricides than a foot archer unit when positioned behind the battle line.
Chariot archers can also be used very much like horse archers. Again, fewer shooters (36 v 54) but they hit at 10 v 7 so the power index is pretty close.
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