The cheap rides are an interesting study. Even R&RC is actually on the cheap side, in comparison to most roller coaster. Disney does made it immersive.
And that, I think, is the difference we see. We all like immersive attractions, and that is what we expect Disney to provide. Be they E-ticket or not, they are immersive. And when the rides aren't immersive, it doesn't feel as much like Disney.
What Dino-rama and Paradise Pier at DCA try to do is let the atmosphere around the rides be immersive, rather than make the rides themselves immersive. Sometimes it works, sometimes it doesn't, but there are several reasons that it is a good idea. One reason for that is that it is chepaer to do it this way. It is also, as others have noted, nostalgic. But another reason to do it this way, which I didn't understand until I started bringing my small son to WDW, is that the completely immersive attactions can, quite frankly, be overwhelming to little ones.
When my son was 3, we had a trip to WDW that started pretty badly. He was old enough to really be aware of all that was going on, and it was too much. Spaceship Earth, Winnie the Pooh, Maelstrom, Ellen's Energy Adventure, the Tiki Room, El Rio de Tiempo, Festival of the Lion King, etc...were all too much for him. Finally, we switched our thinking around and looked for things that were less immersive. The Carousel, TTA, Magic Carpets, Dumbo, Toontown Judge's Tent, CircleVision movies, Living with the Land, Big Thunder, Kilamanjaro Safaris, Lights Motors Action, Tom Sawyer's Island, were all fine and he enjoyed them. Not because they are better attractions, but because the theming wasn't as all-encompassing. And around that time, he actually liked DCA better than Disneyland Park because the theming in the park and the attractions is less overwhelming (plus there's actually enough space to move).