I don’t know if this was serious or not, but there’s a difference in tone amongst these, too. Just judging from the info sessions and tours I went to, at Penn the tone explaining the lack of merit aid was along the lines of “we’re great enough that we don’t need to offer merit aid to attract great students”, while at Georgetown it was explicitly “we don’t offer merit aid so that we can direct more of our resources to need-based aid for students who aren’t wealthy”.
Now, one can argue over whether there’s any real distinction here, but yes, the difference in tone was palpable, and at least on that basis, I’d rank Penn (despite my own affinity for the place) as snobbier than Georgetown, in the sense the OP seems to have intended.