I'll take a stab at Joseph Audio's post: First of all, no one ever claimed that time and phase coherence is the only important parameter in loudspeaker design (at least, no one with any sense). There are many, many factors, all of which are extremely important, and any one of which, if ignored, will detract in a significant way from the end result. THAT is the crux of the matter.
So how do you know that time and phase coherence is critical? So few speakers have these characteristics that many people are fully acclimated to the sound of noncoherent designs, and so will not notice that anything is wrong. All the individual "sounds" are there, and in the right volume proportion, and they all have excellent attack and decay, etc., but the speaker itself does not sound "coherent". I hate to use such a nebulous term, but it truly sounds as though there is not a musical whole, but rather a bunch of separate musical events occurring more or less simultaneously. It is the difference between "natural", which allows you to relax into the music, and "a really great stereo system", which may be fantastically impressive at a hifi show but never actually fools your brain into thinking that you are listening to the real thing. That is my personal opinion, but it is nonetheless exactly what I hear. When it is right, you simply forget that you are listening to speakers. And it occurs with vastly disparate design philosophies, including multiway cone/dome systems, electrostatics, and Walsh systems. Although they are instantly distinguishable from one another due to their vastly different dispersion characteristics, all of them allow your brain to relax and feel as though you are listening to real music. I have never heard a noncoherent system that could do this, not one, in over twenty years of being obsessed with hifi and music. Sure, I've heard plenty that sounded like great hi-fi speakers, but that's an entirely different subject.
That, in a nutshell, is my personal answer. Do not presume that I or others are just making this stuff up for our own intellectual masturbation. It is very real to us, every bit as real as the anechoic-frequency-response or cumulative-spectral-decay graph is to you. And every bit as important, even if it is only one of many things that are every bit as important.