We cannot hear less than 1 cycle at very low frequencies, and by the time 1 cycle has reached us enough time has elaped that we're past the direct sound and into the reverberant sound
I agree fully with that.
I guess what sounds best to your own ears is the right thing to do...
If you are listening to a bass guitar or double bass then I agree that phase has very little to do with the way the notes sound.
However the fact that the bass sounds more spacious with one speaker woofer wired incorrectly seems to me to imply that there is enough energy in the upper bass (perhaps above 80 Hz) to give some rough directional information to the ears - surely this must affect presentation or the way transients sound - like a Kick drum where the slap comes at 4 or 5 Khz and bottom at 60 to 80 HZ?. By this I mean coudl it change the perceotion of fast bass versus slow bass.
I would dig out the Sheffield Labs Drum test Track 1 and check to see which sounds better/more realistic (disregarding the overly heavy bass presentation by using a tone control for example). Just a thought....
Here is and example of the funky relationship between bass mid and treble and the way we perceive instruments
The jargon is an interesting mix of descriptive words to describe how something sounds coupled with the frequencies that are driving that sound. I would be concerned with changing teh way thing sound through incorrect phase....it may not sound that much wrong but it may sound different.