Well, I guess it makes *some* sense for Norman's care-takers to put a transient in place but probably at some degree of his expense (off-set by the profits made from the motel.) But, yeah, a lot of that doesn't make sense. But, for what it is worth, the movie does play lip-service to the fact the social worker's office was short-handed to properly reintroduce Norman into society. Which, again, it DOES seem he was ready for until people started messing with him.
I learned -disturbingly- Dennis Franz looks a lot like Ron Jeremy in this movie.