Rythmik Audio designer/owner Brian Ding has stated that his 15" woofer is no less nimble than is his 12". He also offers subs containing 8" and 18" drivers, and states that his different size subs vary in their maximum SPL capabilities at the lowest frequencies (below 30Hz), NOT in their sound quality.
A subwoofer driver’s performance is determined by a. number of factors, of course. People often cite the lower mass of the cone of a 12" woofer in comparison to that of a 15" as being the reason (all else being equal) for the 12" being "faster". That’s an over-simplification on a number of levels, one example being: The higher mass of the cone of the 15" can be easily be compensated for by using a larger motor (magnet). But that too is an over-simplification, as the gap in the magnet is also a factor. Beware those making simple, bumper sticker slogan proclamations. They should go into politics ;-) .