Cool site, I especially appreciate the detailed about page [1] including the libraries used for the graphics (paperjs + GSAP) and the bloopers section [2], covering interesting glitches from development.
The way the artists work this very limiting and demanding medium is impressive, and probably not even easily imitated by general-purpose generative models.
You might want to take a look at https://diffusionillusions.com/ . You don't need a specialized models, little bit of traditional code for enforcing constraints on top of general purpose models can do quite a bit.
The simple website doesn't work. Everything seems to be driven by incompatible/broken JavaScript, even what should be straight simple links. I'm too lazy to fire up Chromium to find out if it works there.