Depends on the park, I imagine. I'd say most slower, dark ride attractions like Peter Pan, E.T. Adventure, Rise of the Resistance will go just fine. Dark rides or flat rides with more intense motions like Indiana Jones Adventure, Dinosaur, Forbidden Journey, Tower of Terror might be more dependent, and Rollercoasters, especially high thrill ones like Mako or Velocicoaster may end up being limited. I'm not sure if the ride operators at any specific park will check or stop you from riding, hopefully someone else here can verify. I wouldn't count that possibility out though and I'd try to look at the parks' website or even call their support line for information on specific rides and protocols.
What parks are you planning on visiting?