I don’t know, I don’t use Fairphone OS.
I just looked at the page and noticed that 1.13.0 is the newest version they offer a complete OTA install file for, everything else are just update files from 1.13.0 to newer versions or from already installed newer versions to newerer versions.
As I see it, it wouldn’t have to … You don’t boot 1.13.0, you stay in TWRP and install the update file from 1.13.0 to the current version over the installed 1.13.0, and then you have support for the new screen.
If in doubt, there’s still the manual installation via fastboot, there’s a complete current version install file for that.