I would also guess that in at least >50% of cases your application is never given a fair shot for random reasons. I remember when a company that I was working at was doing intern interviews, they would almost always run out of time to do interviews (this was back when interviews were in person), so they would pick 2-3 schools that they had time to get to (proximity * prestige was the factor there) and everyone else got a blanket rejection.

Maybe it’s because my school wasn't on that list, but I remember feeling like if I got rejected like that I would very much feel like I wasn’t good enough. But it was essentially random.