I would guess that a crossbow with comparable stopping power would probably lose 10-3.
That wouldn’t be the case if they hadn’t outlawed semiautomatic crossbows with high-capacity quivers
Similar to how bows are tested against armor. They always use the best armor, but average bows and arrow heads.
The Genoans at Crecy used crossbows and numbered around 4000, so they were no match for Ed III.
OTOH, Alexander the Great led his cavalry across a river, ignoring the hail of arrows which was said to be lousy. The bowmen shot all their arrows, then turned to take refuge behind the crappy Persian infantry. Darius III was relying on the broken terrain and numerical superiority.
Instead, Darius’ entire left lost its nerve and the entire Persian force cracked. But of course, Great Al was a genius. :^) Leadership was key.