Thanks. Now I see the distinction you are making.
And yes, within SPL I would include peaks/dynamic range. Something like the compression test Erin usually runs.
Thank you.
One thing don't know how to correlate with measured response is the perceptual difference that motor strength seems to make.
I manufacture bass guitar cabs, and two (now discontinued) cabs had 18" woofers. Both cabs were -3 dB at 46 Hz, the first overtone of F#0. One cab was noticeably bigger than the other because its parameters called for a larger enclosure to hit that 46 Hz target.
I brought both cabs to a bass player get-together and numerous bass players played through both cabs. The bigger cab had a little over 1 dB higher voltage sensitivity, so it was a little bit louder. Both woofers had more than enough linear excursion considering the amp they were being used with (same amp for both cabs). There were no visual cues indicating anything about the motor strength, but the one woofer's motor was significantly stronger than the other's.
Subjectively, one of them "hit like a pillow" and the other "hit hard", according to bass players who played both cabs side-by-side. I presume the cab that had subjectively more impact is the one that would have been described as sounding "bigger". It was the smaller cab, the one with the more powerful motor. Imo the difference was not subtle, but of course I cannot prove any of these subjective impressions. (The editor of Bass Gear Magazine owns and loves one of the smaller 18" cabs).
My attribution of the subjective difference to motor strength may be mistaken, but to my ears the same trend has held up across other bass cabs. That bass player get-together was the only instance where I had a whole room full of people making an "apples to apples" comparison of visually similar cabs having similar low-end responses and visually similar woofers but with significantly different motor strengths.
If I knew exactly which measured (or better yet modelled) response characteristics correlate with the perception of "impact", I would attempt to optimize for it. I have only imprecise "rules of thumb" to go by, which is less than optimal.
If you have any suggestions of what to look for in measured or modelled response, I'm all ears!
(And I readily concede that I have no "scientifically impeccable evidence" for what you may deem to be my "scientifically improbable claim" of an audible difference that seems to correlate with motor strength.)