I stay almost exclusively at deluxes and, quite honestly, I like seeing people use the lobbies! Isn't that what they are there for? To sit, relax and take in the ambience of the resort? How would a guest of the resort even possibly know who is staying at the resort and who isn't? While I don't really think it's appropriate to lay down on a lobby couch and take a nap, if you happen to fall asleep while sitting upright, why not? As another PP suggested, you could even find a lounge chair on one of the beaches and take a nap there (just make sure you bring sunscreen!)
All of the deluxe lobbies are great areas for an afternoon break with the exception IMHO of YC (too small) and BC (quite loud, though it may taper off in the afternoon when Cape May is closed). You can sit on the beach at BC though and BWI is a great place to take a break. They even have rockers in a shaded area by the Village Green. AKL, WL and any of the monorail resorts are fabulous too.