Shameless self plug for a program I don't even use because as cool as shaders for a wallpaper sounded...I prefer a nice anime one XD. https://hg.sr.ht/~scoopta/glpaper
A wild buffet appears. Hello, I'm pretty good, hbu? That's kind of ironic, I saw this post and figured I'd comment in case someone was interested... didn't think it'd be you lol.
Wayland is a replacement for the X11 window system protocol and architecture with the aim to be easier to develop, extend, and maintain.
Wayland is the language (protocol) that applications can use to talk to a display server in order to make themselves visible and get input from the user (a person). A Wayland server is called a "compositor". Applications are Wayland clients.
As in video wallpapers? Sure. KDE Plasma for one lets you install a bunch of wallpaper plugins ranging from video playback to live computed shaders and everything in between.
swww is a daemon for wayland that lets you change your wallpaper in real time and can display moving Gifs and a ton of other formats (everything you'd expect) plus some free and OSS image formats like the ones from suckless. It also has these sick transition animations