I will try switching the wires but I like the mechanical explanation because this does only happen during moments of extreme bass like that where the driver is moving an extreme amount.
To diagnose the vibration issue, I should remove the woofer and just look for something loose or would you suggest trying to play that clip while the woofer is unscrewed??
Incidentally, when I turned off the amp and cranked the subwoofers by themselves, I also found vibration noise coming from one of the hanging ceiling panels. I was able to resolve it, but there's no way I would have noticed it if the main speakers had been playing too.