We've been stuck on the people mover, splash, Indy and Space Mountain. Each time, we were quickly escorted off the ride and each time, we loved the experience--especially space. Being pushed through to the end of the ride was awesome and then getting to ride it again without getting out was pretty darn special. I remember with Indy, Splash, and Space there were recordings telling us to remain seated, but I don't remember about the people mover because it was soooo long ago.
Don't understand the long delays--we were always quickly attended to.