1) Rabbits have the same spawn system as other animals and trees; meaning if you manage to hunt them all, you have to wait for several days for them to spawn again. Waste of time.
2) Hunting Grounds is random. Savescumming to get a rabbit, hunt them, then do it all over again is a waste of time.
3) Yes you can get rabbit from traps, but you can't do anything to them when they're in your inventory. ONLY when you have 2 rabbits, then MC will automatically kill the next. Also, running around the place hoping you trap a rabbit is a waste of time.
4) Once again, I specifically said fur, hide, and pelt. The first one is especially needed a lot in a large amount. Not to mention hunting an animal only gives you 1 said animal skin. It's too much of a chore if you only need furs to craft mats and gears.