IME, the action is unimportant, when sport hunting. One good shot is all you are ever going to get, in most circumstances. If you miss your first shot, 95% of the time you will not get another. It is, however, good form, to immediately load a second round, in the off chance you do get that second shot. But generally, that second shot isn't going to happen.
For pest management, or multiple targets, not sport hunting related, I would always go with a semi. It's usually a smaller caliber, easier to control, for backup shots, and with a multiple of targets, anything can happen.