It comes from mechanical film cameras. A rotating disc with a 180 degree opening exposed the frame for half the time the shutter took to go round, so each frame carried motion blur covering half the frame interval.
Audiences learned that look over a century, so it reads as normal.
Faster shutter means less blur per frame, so motion becomes a series of sharp stills and looks stuttery. That is the Saving Private Ryan effect, used deliberately. Slower shutter smears motion and looks dreamlike or cheap depending on how far you push it.
So the rule preserves an expectation rather than a physical requirement. It is the default because it is invisible.