Unlike rats, the VAST MAJORITY of rabbit breeder use blunt force trauma to euthanize the rabbits. Basically you grab their hind quarters at the pelvis and strike their neck on a 90° solid object. It is very fast and very humane. With rats I use cervical dislocation, but the rabbits just aren't built as strong and robust so this method works quickly and effectively. So in short, no I don't feed live, for the sake of the snake and the rabbit.
That's basically cervical location, just another means to an end.