s_r-a, I'm a hack, so I just googled, 'how is subwoofer speed measured?' What turned up was subwoofer distortion, performance, phase, and port length, nothing on measuring a subwoofers speed. Can you suggest another search?
If I were a subwoofer manufacturer whose sub measured faster than brand W, publishing the measurements or their attributes would seem to be valuable marketing.
Could what you call doubling be a result of a drivers back wave? Your rock in the water analogy seems appropriate for reflex and open baffle subwoofers. Most people can easily hear the difference between a ported and a sealed sub.
Pressure created by the back wave within a sealed cabinet subwoofer appears to have a noticeably different reaction. Sealed subwoofers with increasingly more robust driver motors, servo limiting and those using proprietary equalization have lowered measured distortion dramatically.
This link seemed an interesting primer albeit from a manufacturer:
https://jlaudio.zendesk.com/hc/en-us/articles/204374170-Isobaric-Enclosure-Types