Rock rings don't really do anything to help keep the tire on. In the 1:1 world, they help keeping the rims from getting hung up on boulders. For RC, they just look like a good place for a lot of mud to get and throw a tire off balance.
Unless you meant to say "rage" rings instead... then the answer is yes. My imex tires held up without them ok until the snow went away and I was actually getting grip. Then they lasted about 1/2 tank and I popped 2 completely off the truck. It didn't hurt them though, but it ended my day.
I bought some hot bodies tires off of someone for my savage and they had a thicker bead, so they looked like they would be ok, but within minutes, I had two come off as well. Then when I tried to install a set of rage rings, they won't fit... without a LOT of persuasion. Even then, I think they are going to wobble because they wouldn't seat evenly... but it's a savage. Who cares? It shouldn't wobble that bad anyway.