Well, rabbits are social animals, many yearn for company and might find a substitute in a stuffie. At least some might, some are content alone, but if the rabbit gets something out of it imho it's better than nothing.
When I started with rabbits I had two incompatible does, at least back then I had no clue how to get them together without shredding each other, and I didn't know if that was even possible. One of them, Magda, liked to hang out with a garden ornament, seemed to at least give the feeling of having company.
I kept daughters of those two to live with them, Magda got Chantal, then Ruth took Magdas place, and Lotte followed Chantal. Now it's time to pick the next two, one from late Lottes last litter and one from Ruths recent litter.
Anyway, rabbits aren't like dogs that swallow everything, so I wouldn't be too worried about stuff comming off unless it's fibers from easily plucked fake fur.