I think this is more in regards to university recruiting, especially with internships? I have no doubt about your experience with post grad hiring, college name doesn't matter as much after you have experience under your belt
I think in general smaller companies have to prioritize on-campus recruiting, but if you sent in your resume and you had some random no-name school (or a school that specialized in some completely unrelated industries), I doubt that would disadvantage you beyond the fact that it doesn't necessarily communicate much information to hiring staff who aren't familiar with it.