This whole thing is actually a question that is easily answered. Many times we have driven up to the gate at a Deluxe and said, "We're not staying here, but we'd like to take a look around the hotel and do some shopping." As long as there are free spots in the parking lot we are always waved right in.
We just need someone to drive up to a Deluxe hotel and say, "We're not staying here, but we'd like to let our 8-year-old stretch out on one of the couches in the lobby and take a nap."
I'm totally not being snarky...I wonder what they would say? Disney is pretty accommodating...part of me thinks they would wave you right in.
(Even so, I still think it's not cool to nap in the lobby unless you're a baby in a stroller or in a parent's arms)