Well, this is hilarious. I now see what the issue is. Please review this link. In particular, read point number 4.
You simply need to select an X11 session and log in. Wayland doesn’t seem compatible with your system as yet. All the non-default WMs you just listed are Wayland-based.
Apart from Herbsluftwm, which is why it didn’t log you out. It’s working, but you need to set it up before logging into it.
PS: Not laughing at you. I’m just laughing at the fact that I thought there was some serious issue regarding logging in. But it’s a very simple issue.