First off, the participation of Jeff Joseph and Roy Johnson have made this thread among the best I've ever encountered here.
Like the guy said to Einstien after one of his classes, "Before I heard your lecture, I was confused. Having heard your lecture I'm still confused, but on a much higher level."
I thank you both, Roy and Jeff, for taking the time to educate us. I hope you will feel welcome here whenever you see something that calls for your participation.
From the body of evidence presented, one might conclude that the ideal would be a single-driver full range loudspeaker whose radiation pattern remains uniform up and down the frequency range. Just so happens this has already been done. Sound Lab's big full-range electrostats have the innate coherence of a single driver, and their unique (and brilliant) faceted-curved geometry maintains coverage over a 90 degree angle front & back, from the dipole-pattern bass all the way up through the high treble. Of course the Sound Labs have compromises of their own (low efficiency, high cost, somewhat limited maximum SPL, large size, and demanding room placement). But to the best of my knowledge they are the only truly full-range loudspeaker to incorporate the otherwise mutually exclusive properties of time/phase coherence and uniform radiation pattern. Non-coincident multi-driver systems can't do both; there are no coincident (concentric tweet systems) that use first order crossovers; and "full-range?" moving coil driver speakers (like Lowthers) aren't truly full range. And besides, the radiation patterns of all these cone drivers change significantly over their operating range.
I suppose a concentric-tweeter driver with a first order crossover and a cardioid radiation characteristic in the lower octaves could also achieve both time/phase coherence and uniform radiation with respect to frequency. But I don't think that's been done yet.
Disclaimer - in case anybody doesn't know or hasn't figured it out, I'm a Sound Lab dealer.