Actually, that ride was not based on the movie. It was built before the movie, and originally called, "Countdown to Extinction." They renamed the ride to coincide with the movie's release (and to give the marketing people a happy day -- not to mention letting the MBAs use one of their buzzwords, "re-branding," when they want to make renaming something seem like they are actually doing something substantive but are not).
Business school commentary aside, Dinosaur is the same ride as Countdown to Extinction. It was re-named to tie in with the movie, and never changed back. It actually was the kind of ride that was stand-alone thrill ride that happened to have education (about the dinosaur extinction and asteroid theory) thrown in. It did not have any movie characters in it; and neither does it now. Only the name matches the movie.