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I don’t know if there is any better option, but you can use an app called Hidamari that allows you to use videos and webpages as “wallpaper”.
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
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