On the other hand, I recently installed a system with debian 13, and it was really easy to distinguish between X11 and wayland sessions: if the session displays a plasma desktop, it's X11, if it crashes on login, it is wayland. YMMV if you try to switch to wayland.
You might have an older GPU that doesn't work with wayland like me. My Radeon HD5870 also won't do Vulkan and anything wayland has never worked properly for me.
What did you learn when you checked the logs to see what was wrong?
Then something os wrong is in your machine. I'm just using KDE on Wayland on Debian 13 and just works fine.
I upgraded to the latest PopOS with Cosmic running on Wayland.
Honestly everything just worked, but using it made me so nauseous. There was some latency somewhere, never figured it out. Running Cinnamon on X11 now. I did read some suggestions to improve latency but I have PTSD so it's going to take a while before I try Wayland again.