thats weird. dont know what is very far range for u, but consistently hitting targets at like 80m at starting 30 bow and default bow, even standing still, is damn near impossible as starting bow has horrible accuracy (80 somethign), so i honestly dont know what ur on about.
also, on horseback, bows are absolutely horrible at top speed compared to warband, and there doesn't seem to be any imporvement when u get your archery higher either. tehre should be perks that make it easier, even a noble bow with super high accuracy basically "misfires" a lot, meaning arrow goes either way below ur center reticule, or was higher, almost half of the time.
so when u say bows are more too accurate, i can only say that progressing in bow skill makes almost no difference on horse, but i guess on foot must be really different