I’ll quibble with the wording. But, having lived in and visited many places, some with very good universities, and some not, I’m going to say yes. At least, for my tastes, and the things I value and appreciate. I would replace the term “prestigious” with “good”, though. The prestige and attitudes aren’t what cause the effect. Neither is it the “higher intelligence” per se, but the many effects of clever people who are interested in interesting things, and the attention given to arts and studies and people doing what they’re interested in, learning and all that comes with all of that.