It is worth re-iterating and explaining a bit more about the measured frequency response. Earlier I linked to a description of the Linkwitz Transform, as described by its inventor Siegfried Linkwitz. (If you don't know who he is, you probably don't know enough to be able to comment sensibly on this subject.)
The point of the transform is that if you are given a loudspeaker in a sealed enclosure, you can find the precise parameters that describe its operation, and these can be expressed in either mechanical (mass, dampling and compliance) or electrical (inductive, capacitive and resistance) terms. (This is also true of vented systems, but here we are concerned only with second order, aka sealed designs.) What you are then able to do is mathematically define exactly the correct inverse parameters to apply to the drive signal to remove the roll-off inherent in the system, and then apply exactly the new roll-off you want. There is no such thing as a free lunch, and the cost is that your drivers must be able to cope with the excursions needed to deliver the lower roll-off. You need to limit the signal at lower frequencies to ensure the drivers don't get destroyed. But the upshot is that you get what amounts to exactly the same bass performance in a small box as you would get from similar drivers in a much larger box.
To quote Linkwitz from
his description:
A majority of drivers exhibit second order highpass behaviour because they consist of mechanical mass-compliance-damping systems. They are described by a pair of zeroes at the s-plane origin and a pair of complex poles with a location defined by Fs and Qt. The circuit above allows to place a pair of complex zeroes (Fz, Qz) on top of the pole pair to exactly compensate their effect. A new pair of poles (Fp, Qp) can then be placed at a lower or a higher frequency to obtain a different, more desirable frequency response.
What is important is that this is isn't simply a matter of applying some arbitrary bass boot. The parameters chosen exactly cancel the inherent characteristics of the subwoofer, no more and no less. They leave a system with no ringing or weird phase issues or nasties, and certainly don't result in a boomy bass or the like. But the filter parameters must be matched to the speaker. There is no simple generic form.
This is a well known transform, and many speaker design programs offer calculation of the transform as a standard function. I would guess that the vast majority of powered subs are built using it. (All sealed ones that is.) The only reason that it seems to be such a controversial thing is that by measuring the amp alone we have exposed its operation, whereas most powered subs build the amp into the sub box. Since this amp is specifically designed to be used with a thin in-wall subwoofer, one that has no room for an internal amp, we see it in its naked glory.
Really that is all there is to it.