I look at this only from an audiophile standpoint. You don't gain anything. You just loose performance. The moving mass of the 12 is much lower and offers better control and stopping ability. The 15 doesn't play any lower. It just adds moving mass and less control.
There are a several of things to consider here. The motor strength of a subwoofer driver is so strong that moving mass is almost insignificant. I have heard a subwoofer designer say comparing the Mms (moving mass) of two subwoofer drivers to cars "would only be accurate if it was comparing a 2000 pound and a 4000 pound car, both driven by 10,000 HP turbofan jet engines. That would be a fair comparison, as the Mms relative to the force provided by the driver motor is miniscule." The motor force of a subwoofer operates near the speed of light since it is electro-magnetic force. This makes its ability to overcome driver inertia happen so fast that it can't be measured in audible levels. Adire Audio had a
paper years ago that showed that Mms does not have an effect on woofer speed.
To compare Mms between two drivers, you have to take the the weight (Mms) divided by the area (Sd) to see which driver provides the lightest moving mass per square centimeter. The 15" driver has an Mms of .321g per sq cm while the 12" driver has an Mms of .289g per sq cm. Considering that the 15" driver has higher relative motor strength, I think it should be able to start and stop faster than a 12" driver if Mms was related to this. The 15" drivers I use have an Mms of .265g per sq cm which is even lower than the GR-Research 12" drivers.
Even if Mms is important, a better comparison between drivers would be travel distance. To reach 95 dB at 20 Hz with the Rythmik 15" it only has to travel 7 mm. With the 12" driver it has to travel 10.8 mm. This means for a single 20 Hz note, the round trip of of the 12" driver is 7.6 mm further or 33% more. It is actually 33% more at any given frequency that the subwoofer will play. Given the stronger motor strength of the 15" driver and the much shorter distance it has to travel for the same output, one can see that a larger driver isn't at any disadvantage.
If you need to move more air than one 12 then use two.
This doubles the Mms now making the moving mass heavier than a single 15. So is the "speed" of two 12" drivers now half that of a single 12" driver? Of course not. They won't have to move as far and they have more motor strength which is my point above regarding a 15" driver to a 12" driver.
Having listened to over 30 subwoofer drivers in the past few years it seems that my preference is based on low Mms per sq cm, high sensitivity, and low L/R Time Constant. The L/R Time Constant is how long it takes the current in a driver to reach its maximum value. It is calculated by dividing the inductance (Le) by the resistance (Re). The best driver I've heard so far is the Acoustic Elegance TD18H+. It is an 18" driver with an Mms of 189.2 grams (only .16g per sq cm!), a sensitivity of 98.15 dB/1w, and an L/R Time Constant of .08ms. By comparison, some subwoofer drivers get up over 3.00ms for the L/R Time Constant.