Well why would I rent a wheelchair, and then push around an empty wheelchair, if I'm only taking one? My Fuzzy Ducks (Gatorade flavored with vodka or grain alcohol) need that pouch on the back of a wheelchair to get in, and after one I need the wheelchair for balance, so I pay the $34 and will not limit my time at MK to go get a refill. Next you will tell I can't bring my cane with the hidden flask inside.
Here's the thing though, as much hate as I get I can promise that people will walk over to me and ask for a sip. The Magic Kingdom can say they don't sell alcohol (except at a 400% mark up at BOG) because it's a family place, but after 30 minutes with the family Trader Sam's seems like a great idea and a Fuzzy Duck will be all you can think of.