Bows definitely need to penetrate soft armor more, seeing as higher pound bows are more than capable of sending arrows through Kevlar. Granted that's with steel broadheads, but stone points are actually similarly effective just with less reusability. I have trouble imagining a Great bow being less than 60# (hunting weight), they would likely be warbows with draws upwards of 100#. A shirt made of futuristic not-quite-Kevlar isn't going to do much.
Short bows on the other hand, probably a much lower weight and not so big a deal. Is this all filthy speculation? You bet!!!
Are there bigger things to worry about? Probably.

