Looking at your output, you are running an X server on top of Wayland, which is normal. Your applications will likely be a mix of X applications and Wayland applications. In the case of inxi which doesn't yet have full Wayland support it needs to work as an X application, which is fine.
To answer your real question, how to "determine whether my system uses Wayland or not" there are really two things. Look at the boot logs or session startup logs to see what servers are being started (normally depending which session type you choose during login) and secondly, once you have wayland started, check if your applications are actually using it.
A simple trick to check if you have a wayland or x-window is to start the program xeyes. When you are in an x-window then the eyes will track the mouse. When you move into a wayland window that is not an x-window they will not. Start an application like Gnome Terminal or Terminator which have wayland support and you should not see the eyes moving.
If you are in a proper X-server then you will be tracked all the time. In a Wayland server you will be tracked only if you enter an XWayland compatibility window.