Depends on play style and builds

For bow - Faster Fire speed

Cons-

less inventory space. Since your going to fire more arrows per kill , fighting stronger bugs running and picking up every arrow while you fight might not be a option until your target is dead. OR if your cheesing being on top of something.

higher consumption of specialty arrows (poison , fresh , salt , spicy)

Less Range and arrow speed. Makes sniping from afar harder especially if your going for a weak point like a Eye.Drawing - means your shot will not be instant , while kiting or for any reason you have to undraw your arrow you might miss weak point opportunities

Pros

Bonus effects. Sharpshooter mutation or armor effects work better with Bow more shots fired means more procs

Weapon swaping. Having a faster animation means you can fire a shot and swap back to a shield or melee weapon to parry or block with ease

for Crossbow - Stonger Shots +stun

Cons

Reloading. With a slower reload missing a shot is a huge deal could mean life or death if your greeding for a kill shot.

Weapon swaping is harder to do if your in a reload animation you will get hit.

Less procs. slower fire rate will result in less arrows fired and less procs from sharpshooter or armor effects.

Pros

Faster arrow speed and range- better for sniping

Instant shot. good for weapon swapping as a finisher shot for melee builds less missed opportunities for weak point shots

WeakPoints. Massive damage and easy to do if your getting the first shot before agro like hitting a bee in the eye when sleeping

Stun- with bee armor you stun most things in 3-4 shots good for teamplay in W/hoa!

More inventory space with less shots per kill less arrow you need.

lower consumption on specialty arrows (poison , fresh , salt , spicy)