I went to a decidedly unfancy university (WGU), I think it was fine, and then I went to a slightly fancier University for graduate school (University of York, UK), but I still didn't get callbacks for the Wall Street jobs that I applied for [1]. Obviously there are thousands of factors that could lead to me not getting a callback, but eventually one recruiter outright told me that I shouldn't waste my time applying because I didn't go to a "top 20 school", and to "try working for a bank instead".
Keep in mind, I'm hardly a "fresh graduate", I have like 13 years of software engineering experience and have worked at a FAANG and other very large corporations and have spoken at multiple technical conferences. For most companies that's more than good enough (I actually worked at Apple when I was still a dropout), but the Wall Street world seems to care a lot more about yuppie credentials.
What I'm getting at is there are some careers where the quality of the education itself is secondary. They want to see some fancy names on the resume and it really doesn't matter if you're "qualified". It's not fair, it's arguably classist, but they didn't ask me when making these policies.
[1] Though some people tell me that I might have dodged a bullet with that one.