I’ve tried a fresh installation on an old AMD AM1 APU machine.
Both Arch and LTS kernels, Btrfs file system, HDMI connection to monitor, KDE Plasma, Wayland.
I asked the system to log me in automatically.
When I boot for first time, post installation, I see a login window. When I log in, the screen starts to glitch, shows strange colors at the top, flicks on and off and returns me back to the login window.
Your hardware is older radeon Sea Islands. Not sure if or how it works on Wayland. EOS is also using dracut so some of the instructions in the Arch wiki refer to mkinitcpio which don’t apply. I’m not an expert on this but i will give what i can. I would make sure you have the ati driver installed.
It is xf86-video-ati and i’m pretty sure it’s installed on EOS as default. I would try first logging in with X11 which can be switched at the log in screen bottom left corner of the screen.
Then follow section 2.2.2 in the arch wiki and set the kernel paramaters for sea islands. I’m not sure if you are using grub or the default systemdboot?