The latter two weapons require more skill, and are more likely to allow the animal to escape wounded and die slowly. I have no problem with a skilled hunter using any weapon for a clean kill, but I have a problem with leaving a wounded animal to suffer.
I can't think of a good way to address this with regulation, but if I were going to bow hunt, I'd want to have a gun along to finish the job if necessary.
Don't bow hunt - unless you are GOOD!