Just some random thoughts:
A musical instrument (acoustic) is more omni than directional. So you will always get a lot of ambient sound from a musical instrument--a sound 'quality' that will just not be present from a directional point source. Does this mean that an omni is best?
From a practical point, an omni is going to have a lot of problems reproducing a wide range of sounds at a reasonable price point. That was the big fault of the original Walsh driver. It was 'full range' (except for the bass) and crossoverless in the range it covered, but the driver was made of different materials from its apex to base (I think it was three different materials), each contributing their own sonic signatures, and related problems. I have no idea about the German Physiks, MBL--or even the current implementation at Ohm. I've not heard them, however in any case they are not 'cheap' to own. Not that that is or should be a disqualifying factor.
I have spent some time (I did not own them or listen to them in my own house) with the Harold Beveridge tall (ceiling to floor) electrostatic line source--not an omni, but a half omni. Through the use of a tall electostatic element and special lens, it sent out a 180 degree rather coherent sonic wave launch (the back wave was damped as it was out of phase--unlike a true omni which cannot be said to even have a 'front' wave, or any front at all). The two speakers were supposed to be placed on adjacent walls facing each other (not facing the listener). The resulting sound was definitely different, and was rather non-directional. You sort of moved around in a 'bath' of sound. Nothing like a conventional speaker, that much is certain. Did it sound like a 'live' musical instrument, more so that a conventional loudspeaker? I really can't say that it did.