I'm totally down for some good old fashioned impractical hacking. But just remember, we already have canvas, which can do all this easier, faster, and better.
Canvas would still be faster even if you used a full-screen box. Just the string concatenation overhead of doing this with box-shadows is insanely wasteful.
Which isn't to demerit the hackish creativity of taking one thing and running with it! But if you wanted to do a ball painting effect like that outside this "what if" context, it would be technically irresponsible to do it with box-shadows.