As a recreational archer (modern longbow), I hope that we DON'T get bows. Why? Because even if you claim bows are useful for stealth purposes (which they are), there is no reason whatsoever why someone in a post-apocalyptic setting wouldn't use a crossbow instead, which is far, far easier to operate and can reach ridiculous draw weights which would be needed to pierce light armor. With a bow of equivalent power it would take anyone years of practice and developing musculature to learn how to shoot it effectively.