The reason for hunting with a single shot is simply because you want to. Period.
There are no advantages. You CAN'T reload and shoot a second shot as fast. the Army proved that in 18 and 92. And it won't make your shot placement more precise. It will, however, prevent you from getting in a follow-on shot if you wound an animal and make it easier to escape.
So shoot one if you like. That's all.