I've never really understood the point of making sloppy joes when you could just use the ground beef to make hamburgers instead. While some may have other reasons why you might choose the sloppy joe over a hamburger, I can only think of two situations where I would personally go with sloppy joes over burgers.
1. You're making food for a lot of people. If you were making food for 10 or more people, sloppy joes would certainly be easier.
2. You're using wild game. I use a lot of venison, but I find that ground venison can occasionally be a little too strong for regular burgers. Although I would honestly prefer to use it in stuff like chili or taco meat instead of sloppy joes.