At first view this appears correct after all Physics don't change. In reality the transient reponse of a sub has nothing to do with its mass!! This is a surprise for more than one.
First we have to assume that said driver is operating with its linear range. Modern Day woofers have superb linear motion within their Xmax (Max distance the cone will travel from rest) and we can safely assume that if we keep the travel to 75% of Xmax the motion is for all practical, or even theoretical purposes, linear. Thus the travel of the woofer is a function of its BL (The driver motor strength) and the intensity in its winding. ... To make it short the force is a function of intensity (amperage) in the winding, F - BLi (Motor Strength by Amperage). It still is equal to the ma, mass multiplied by acceleration no doubt and the lower the mass for a constant force the higher the aceleration but and that is the big "but" ... if we admit that the mass is constant, acceleration then becomes a function of the current in the winding. thus accleration (a) = (Bli)/m ... BL is constant , m is also a constant thus the acceleration is a function of current in the windings. The limiting factor becomes mostly the "L" for a given mass ....
Thus a woofer properly driven (IOW lot of stable power) can start a stop on the proverbial dime, regardless of mass ( all that within reasons) you still wouldn't put a 50 lbs cone and expect it to not create problems since you cannot have infinite current in the winding .. so an 15" inch can provide excellent transient response as good as that of a 12 or 15 or even a 10" as exemplified by subs with stellar big drivers such as the woofers of the MM7 or those of the VS Vr 9 and 11 or the Woofers of the Rockport Altair and Arrakis or those of the Wikson X-2 and XLF or those of the Focal or ... One can see the trend

.. Of course the myth will be difficult to dispel and we will still talk about "slow" woofers, long after this thread goes forgotten ...
Andromeda.. Cone breakup is mostly a function of the cone material and geometry. that is when the motion of the cone becomes non-pistonic. Break-ups have also the bad tendencies to be non-harmonically related to the signal in order they sound their own regardless of the signal . It is not become the driver is "slow" that it breaks-up nad one can have 1 inchers that reproduce higher frequencies extremely well. Youdo have to contend with directivity as you use larger cones and that is the one of the reason (and perhaps marketing ) why you don't see big drivers reproducing midrange. In reality some 18 inches go happily to 2~3 KHz without any breakups ... Facts, not opinions.