If I were Butch Jones, I'd have no problem letting our commits visit other schools. Interest from other schools is a good thing, and resisting visits elsewhere makes us look insecure and selfish. We should be confident in the appeal of our program and always give the impression that we support whatever is in a recruit's best interests. If that means letting them look around at other schools, even while they're still committed to us, then so be it.
I think the message they get is, "You wanna look around? That's fine...we'll just be looking, too. Ummmmkayyy?"