So is my work measured by how much I move the mouse? In my job if I used an automatic mouse jiggler it would have zero effect on my employment, because I’m not being employed to move my mouse, I’m being employed to do productive work.

It’s insane that such a program was useful. If your boss doesn’t know the difference between you working or not, and only knows how much your mouse moves, that is a shit boss who is terrible at their job.