I also had the same problem with 2 11 Pros and only after some minutes of use!
The first one: Showed up a very light (but long) scratch (couldn't feel it with my nail) after a couple of hours of use (only in hand and in (clean of everything) pocket).
I thought that that the scratch was there from the start and just didn't noticed it.
The store exchanged the phone the same day.
I got a second one which I examined and was OK.
I didn't used it more than 2 mins and then wiped it with the soft cloth (obviously totally new and clean) which came with the Spigen screen protector I bought in order to apply the screen protector.
Then 2 scratches (a light one like in the first iPhone) and a deeper one appeared!
I got the second iPhone back also.
Never had this kind of issue with any iPhone I had the last 9 years.
It is obvious to me that we are dealing with a screen coating failure which Apple has to acknowledge ASAP!