@StephenKitt well I'll be... I had no idea this was possible. I am used to having just one login manager instance on F1 and that's where you log into. I tried and, of course, you are absolutely right and even without wayland, on my modern system I have GDM running on F1 while I am logged in on F2. I had noticed my Arch was on F2 when I first switched to Arch a few years ago but hadn't realized that meant that I still had a GDM on F1, the idiot!