This seems like quite an overreaction. This animation could easily confuse people who don't know as much as you do. The little ball moving back and forth -- what is that? What is doing the moving? What determines the speed of the ball?

These are the questions you'll be running into when you show this to middle and high-school students who have no idea what state space is and what matrix operations are. Like most math visualizations, this one seems best for people who are already somewhat familiar with the material.

I think it's a cool animation, but I'm almost sure I'm suffering from a hindsight bias. My physics professor used to say that nothing is worse than an analogy taken too literally.