I've always found rabbit meat about as dull, if not duller, than battery chicken. Free-range chicken is much better. I assume that the rabbits I've eaten were free or free-ish range, as I don't think you can battery farm them, so that might be as good as it gets. Hares are tastier.
Having said that, I think I could hunt an animal for food, not that I've ever fired a gun. But to keep animals that came to trust me to feed them, and then one day to wring their necks, or take them on a little trip that's only one way for one of us -- I'm not sure I could do that.