Eldartford,
You may be correct in your experience, but an out-of phase pair of speakers that face each other (especially if close together) will cancel all of the duplicate information, leaving only the "difference" information.
Placing speakers out of phase and facing each other is an old trick that many people use when breaking-in a new pair of speakers. I've done it many times. You can turn up the volume much louder, but still get the same driver excursion because the duplicate sound is cancelled out.
Try it sometime if you want to see what I mean. Take your right and left speaker and place them facing each other. The closer the better (I usually have them about 1" apart). Reverse the wiring on only one speaker. It will produce a very much diminished sound. Oh yeah, if you can play in mono (the same signal to both speakers) it will be muted even more because there is no difference signal for each speaker, there would only be a duplicate signal. The duplicate "sound" is somewhat cancelled by the other driver that is moving in the opposite direction.
BTW, I don't really know why/how this is different from a speaker that is designed as a push/pull setup.
TIC