I won't deny that's how it's commonly framed, though I would take some exception to it.
Walk-ones are merely players who have yet to get a scholarship. They're not worse players. They weren't even necessarily unrecruited players. They simply, for one reason or another, do not yet have a football scholarship. Many eventually do get one. Do they suddenly become better when that happens?
Coach DeWitt said it best. He doesn't necessarily know who is a scholarship player and who isn't, and he doesn't necessarily care.