Why there are so many refugees with “F” permit?

Check out what Italian Mafia woman at my refugee residence talkes about. I guess this is the reason why so many refugees get "F" (health problem to stay in Switzerland). I do not know what they do after they get back to their country with it. If it is a mental problem, then it would make them to get certain attention from the authorities in their countries. This is just my guess, though.