While CMU is huge in computing, it's lacking in prestige. Cornell is most-frequently referred to as a 'fake Ivy' everywhere college discussion can be found, and has been since the 1980s. I direct the audience's attention to the results of the search query "fake ivy university":
This is actually accurate. The main product of the Ivy League is prestige by association in the general populace, and it requires mass marketing to try to keep their brand of prestige scarce. The fact that the studentry and faculty are as able and smart at the state universities is irrelevant to the product.
https://www.google.com/search?q=fake+ivy+university