It could fall from 1 feet onto a kitten-shaped cloud and break if certain conditions were met. I’ve also seen numerous videos where people drop it from 3 meters onto concrete and the phone is fine. It’s luck. There are so many things to consider here - it could’ve fallen with a very specific angle with very specific combination of outside factors, it could’ve been faulty in some way and this just accelerated the process, etc. My advice would be to try and get Apple to fix it - if there is no outside damage (since, as you say it fell on the carpet) - you can probably get it fixed under warranty (just say it stopped working).
But I wouldn’t go in with this “you have a responsibility towards bill-paying customers” **** if I were you. Be polite and take it in for service.
Edit: I see you have a replacement phone on the way - and you’re still unhappy? You don’t get it’s bad luck and it could happen to anything? Things like this can happen to literally any product. My advice: be more realistic about things and you’ll be happier. The iPhones are built great. Some of the most reliable phones on the market. These things happen.