um, "where you went to school" does not matter only to people who didn't go anywhere.
when you go to school filled with very smart people you really get used to working with really smart people. I'm not saying it's panacea or even good, it just is.
So, when you say "where you went to school" makes no difference in hiring, that tells me more about your hiring culture than it does about the candidates.
I got a serious degree in computer science at a serious school, and I'm not hiring people without one, just based on being able to expect a certain baseline for conversations.
think of it like high school geometry, Euclidean proofs. It's not necessarily rocket science, it's taught to a vast swath of the population. But imagine a job that required a knowledge of geometry, are you going to look at the resume of somebody "self taught" the same way as somebody who went to the Alexandria Institute of Geometry?
Yes, there are many other factors to a complete human being, and a good worker, but one of the valuable things you learn from a good education is how to tease apart complex problems and look at which inputs have what effect on what output (kind of like separation of concerns). I'm am commenting on one aspect of a resume or a hire; pointing out all the other aspects will not dissuade me from my point.