All my files were sent in late. Not like all all, but for every school I had college report’s missing and sometimes transcripts that were postmarked 2-3 weeks after the deadline. So the school get’s them about 1 month later than the deadline.
Don’t know about your specific situation, but for me, that wasn’t the case. Literally, everything my GC had to mail was sent late because it never got there the first time. I had to have her email it or send it myself for it to get to where it needs to go. Out of those schools, I only got 1 rejection, so I don’t think it’s auto-reject unless they’re crazy strict about deadlines.
Emory, Duke, Davidson, UofSC, and some other smaller in-state schools. Davidson was the school I got rejected from, but I doubt it was because some stuff was sent late. BTW I had a friend in a similar situation and they still got accepted to places like Brown and Cornell.