Regarding science about perceptions of bass and "quality" (which I interpret as subjective impressions, could be potentially described along specific parameters like
https://www.aes.org/e-lib/browse.cfm?elib=16323), there are some interesting papers and models that have been discussed here but not very often.
1. Fazenda et al. Subjective preferences of modal control methods JAES 2012:
https://www.aes.org/e-lib/browse.cfm?elib=15734 (can download free copy at
https://www.avsforum.com/attachments/jaes_v60_5_perception_modal_control-pdf.2273992/)
2. Martens et al, SPATIAL AUDITORY DISPLAY USING MULTIPLE SUBWOOFERS IN TWO DIFFERENT REVERBERANT REPRODUCTION ENVIRONMENTS, ICAD 2005, and the related SUBJECTIVE EVALUATION OF AUDITORY SPATIAL IMAGERY ASSOCIATED WITH DECORRELATED SUBWOOFER SIGNALS ICAD 2002
3. Griesinger (
http://www.davidgriesinger.com/), specifically
but can find other papers on his linked page
I interpret these loosely to suggest that:
A. Although bass reproduction is generally considered as a minimum phase phenomenon, perceptual testing suggest possible benefit of prioritizing modal decay time reduction over simple frequency response approaches (#1 above, also
https://www.semanticscholar.org/pap...ivet/c60956bb7ae27df063100c5431f738c7225667ef)
B. Laterally decorrelated bass may positively contribute to spatial perceptions (envelopment or spaciousness) in certain situations with certain listening materials, perhaps with certain recording techniques (this has been discussed a fair amount in the past, but my speculation is that perhaps many stereo classical music recordings might benefit more than, say, pan pot stereo recordings). Since many listening rooms are not perfectly symmetric on the left and right in terms of construction, including window and door placement, reality does not perfectly reflect the mathematical model for modes, so I wonder to what degree sidewall placement of subs might excite room modes a little differently. The other aspect I wonder is whether placing the subwoofers wider than the left and right speakers might act like Blumlein shuffling in the low bass (can see discussed
https://www.flyhighwaves.com/studio/stereo-shuffling-new-approach-old-technique/ and
https://www.audiosignal.co.uk/Resources/Stereo_shuffling_A4.pdf, but again, spatial perceptions are referenced here)
Two aspect of Geddes' approach (which has been described in different ways at different times but generally involves reasonably full-range speakers run full-range, one ultra-low frequency subwoofer located in a corner, one bass source above the midline of the room, and at least one other subwoofer due to point of diminishing returns) that potentially differ significantly from the Welti approach (which has also evolved somewhat from the typically linked "multisub" paper to
https://hometheaterhifi.com/technic...n-interview-with-todd-welti-and-kevin-voecks/):
i. The degree of overlap between the subs and the main channels
ii. My speculation that his approach of multiple decorrelated bass sources may end up incorporating some aspects of A and B above, even if unintentionally so, since highly asymmetric bass source placement may be expected to differentially "drive" room modes, also phase and level of each additional bass source are sequentially adjusted to reduce peaks, which may involve phase cancellation at modal frequencies, essentially acting somewhat like a "sink" or electroacoustic absorber, as well as possibly contributing to what I discussed above in point B. Perhaps
@Duke could comment further.
Anyway, since you asked about science and bass quality, I thought the above references might serve as a possible starting point to explore further on your own.
Young-Ho