Not all the changes are because of embarrassment.

The Lilo & Stitch change was to one scene, where Lilo tries to hide from her sister by hiding in the clothes dryer. They changed the dryer to a storage cabinet.

It turns out that a couple thousand kids a year are injured by getting inside washers and dryers, and a few die. They either get locked in and suffocate, or somehow the machine gets turned on which can cause a lot of trauma.