Can you read your full last paragraph?Yes- in rereading it, it makes sense to me...
However overly low impedance can accentuate ringing. I get the impression you would be familiar with snubber circuits? It is similar to a resistor in series with the capacitor. The resistance is needed to damp ringing.Usually those snubbers you see in amps are for the amp’s benefit, not that of the loudspeaker. But keep in mind almost any amplifier will provide damping to almost any loudspeaker. But the simple fact remains that there is no signal in audio where the ability to stop on a dime is important.
As I just pointed out, once the woofer nears the zero crossing point it will want to keep going for a bit, but once it gets to the zero crossing point whatever signal that allowed it to get there will also be calling on it to continue in the same direction past the zero crossing point. There never is a point where the woofer stops unless the amp is shut off.
So the two points of stopping are:
*a DC pulse, or
* the amp being turned off
In either event no audiophile listens to either so its moot :)