Peter and Alice (Great play btw) are more set in the UK than Pooh though. The main characters have British accents, showcase English landmarks, and feature British perspectives and terminology. Pooh...doesn't. Rabbit, Tigger, Piglet, Kanga, Roo, and even Pooh...they all feature standard American cartoon voices. As a kid, I never realized Pooh was English because how it felt like the other American cartoons.
Pooh replacing Country Bears bugged me because I loved Country Bears, but I honestly think it fits better in Critter Country than it does in Fantasyland like WDW.