Very very interesting...intuitively, Don, I have been really thinking about next major move and I keep coming back to 2 subs, each with 2 x dual-opposing 18" cones...which create the equivalent air displacement of something 7 Velodyne DD18+s or comparable to the Genesis Prime dual sub towers with something like 12 x 12" cones per side.
Very very low distortion, high air displacement. Based on your own [extensive] experience...does this seems like a reasonable target for all-out low distortion, foundational bass (not a night club at all) for a room that is 40' x 17' x 11' to be driven by something like 10K watts of A/B power (also designed by the sub manufacturer in a separate chassis)...below 38hz...alongside the Wilson XLFs?
I'm not a speaker designer, and my grad courses in acoustics were long ago, so take anything I say with a block of salt. And I have not done professional analysis for 10+ years now. Unfortunately experience does not always go hand-in-hand with competence (*).
My last significant experience with Wilson was long ago and the Alexandria XLF costs more than my house when we built it. Looking at their specs and the Stereophile review is interesting; the bass response has a large peak, but John noted it is due to the near-field measurement, so I do not know their "true" response. It looks like the big port is tuned to ~19 Hz, pretty low, but should augment the bass to and a little below that point. JA later indicates they have extended response to below 20 Hz, so to me subs would be to counter room modes, and perhaps get another octave into the low organ and percussive range. Too bad he does not measure distortion though he said he expects it to be low. The XLF ports both woofer(s) and midrange drivers, a fairly unique feature, I think.
10 kW sounds like a lot of power, especially class AB, but a pair of dual-opposed 18" subs properly placed and integrated should certainly be "a reasonable target". Your room is near a 2:1 L/W ratio so modes could be an issue. Hopefully you are not sitting right in the middle of the room; a sealed rectangular room has a primary mode (null) right in the center. I usually prefer ~1/3 or ~2/3 positions for listening. If you are planning to place the subs physically beside the XLF's that may or may not be optimal depending upon where they sit -- I assume they are out in the room a ways? You could check out Todd Welti's paper on sub positioning for some insight:
https://www.harman.com/documents/multsubs_0.pdf
That is a fairly large room; is it sealed, or open to the rest of the house?
In my system, in a fairly small room, I went with four smaller (12") subs for more flexibility in placement and ability to smooth the response. I do not need the output (more than enough from the little quartet), but having multiple subs scattered around provides flatter in-room response. My response is -3 dB at 7 Hz, but there are some significant peaks and valleys I cannot eliminate due to room size, wall boundaries, and so forth.
I did laugh at "foundational bass"; a pair of those subs paired with the XLFs should crack most foundations!
HTH - Don
(*) Experience comes from making lots of mistakes; wisdom is learning from them. So far, I've lots of experience... - me