I have had to use the PoP at Disney before the race and never have run out of TP, they had hand sanitizer inside. No lights. You just go in, locate the hole very quickly, hover and do your business and out you go. You try to go as fast as possible. Earlier on is better, the smell isn't so bad. I do carry a small travel size of kleenex and had to use them at the A1A Fort Lauderdale Half when the PoP had no TP. It came in very handy!!
The bathrooms inside the park are OPEN, if you ned help finding the closest one - just ask a cast member!! I used the one on main street near the Noodle Station and had the whole thing to myself!!
Tracy