Wide dispersion + high efficiency + detail + coherence in a speaker?

When it comes to dispersion I think it's a question of whether the off axis response is just lower in volume or whether the off axis frequency response is bad.  When I think of bad dispersion I think of a speaker that has good on axis response but the off axis response is poor.  In cases like this you want to hear as little of the off-axis reflected sound as possible since it's messed up.  If the off-axis response is low in level but the frequency response is still good then I don't consider it bad dispersion. 

Why hasn't anybody just told the guy his hopes aren't realized in anything ever made? 

No one  absolute champ perhaps  but lots of good options that strike good compromises case by case.   I guess thats why so many choices are out there .  I say go for them all. No rule that says you can only have one system. 

For coherence consider ESLs. Like Quads. Not hybrids like ML.

The rule of income constraints means I can't have a bunch of rooms with a bunch of rigs that exploit one or two virtues to their zenith. Consequently, I go fo the virtues that I care most about. Chief among those is impeccable imaging followed by dynamics, which in my estimation goes hand in hand with convincing depth of field. Bass is needed, and it needs to be decent, but reaching 15Hz isn't a priority at all. I'll never use subs. Of course tone and neutrality are critical, but I don't think I put the shameless emphasis on tone that some do. Efficiency.... Not a critical factor. Dispersion is only important in how it influences other factors. 
I'm not looking for a holy grail. I'm looking for what I like.