When I went to school turbulence for acoustic waves was an x,y,z,t thing, not two-dimensional. Turbulence within the enclosure is one of many parameters used as part of any modern speaker (or subwoofer) design.
Measuring the response is another way, and less subject to both listener bias and the limitations (lack of sensitivity) of our hearing at subwoofer frequencies. The question is not really of integration, which is usually determined around the crossover frequency, but the ability to cancel reflections (modes) all around the room over a broad band.
You are asking us to believe your claims without proof, buy your subwoofer, then see if we can hear the difference. Great marketing, especially when perceptual bias is considered, but I was hoping for actual proof of your technical claims. That is also easily done. This is not something for which you need a $30,000+ analyzer system; a $100 microphone and free software (REW) can be used to measure the in-room response. You mentioned previously that you could show graphs at several points in the room; a set of unsmoothed graphs taken at several places in the room, along with the locations and room dimensions defined, and the test system used, would be helpful.
Innovation is great but extraordinary claims should be rigorously proven.