Since it was a debian, i have to ask - was a driver 10 years old already when you used it? I also had 1080 Ti (and a regular 1080), worked flawlessly in: Windows 10, FreeBSD, NixOS. I don't recall versions I ran tho.
As I said there was issue where one screen wouldn’t be accelerated. This was on both Debian and Fedora this was around 2020. I started using Debian around 10 I think.