The cone does not stop due to clipping - there is no DC component
Engineers never learn anything useful in school!
An oscilliscope is fine for studying sine waves but not complex waveforms like music.
But even a clipped sine wave is not a square wave.
And no one listens to square waves or sine waves anyway except to make measurements at low volumes.
I wish a subwoofer cone had the ability to stop moving instantaneously but it does not stop when listening to music. I suppose you could connect a battery to the driver and move the cone to one side or another.