@josh
tl;dr X11 window manager <=> wayland compositor
in X11 you've got the x display server (xorg), your window manager (awesome, dwm, i3, ...) and optionally your compositor (one of the 20 million picom forks)
in wayland, what you'd traditionally call a window manager actually is a display server, a window manager and a compositor in one process, and everyone calls it a compositor