Very good questions!
"(I)t seems that a lot of Omnis do no(t) limit the tweeter (Deuvel and Morrison come to mind) . "
"Does limiting the tweeter from being full omni help the coherence but hurt the imaging? "
No. I think coherence is mostly due to sonic waveforms being in phase at all frequencies top to bottom. Crossovers and multiple drivers present an extra challenge in accomplishing this I believe. A single Walsh driver that covers a wide frequency range has an advantage here I think.
"Does it also make it easier to place by letting it be closer to the rear wall? "
In general, yes. However there are other ways to accomplish this otherwise with any omni driver.
OHm Walsh speakers accomplish it by design with acoustic dampening material inside the cage and around the drivers that attenuate SPL of sound from the omni Walsh driver in the wall facing directions.
I believe it is possible to special order CLS Walsh drivers from OHM that do not use the acoustic dampening material to attenuate sound in wall facing directions if desired. This would be more mbl and German Physiks like in radation pattern and resulting effect on optimal location of speaks relative to walls. I think OHM may use this approach for some of their Walsh A/V surround sound speakers, but I am not certain.
"(I)t seems that a lot of Omnis do no(t) limit the tweeter (Deuvel and Morrison come to mind) . "
"Does limiting the tweeter from being full omni help the coherence but hurt the imaging? "
No. I think coherence is mostly due to sonic waveforms being in phase at all frequencies top to bottom. Crossovers and multiple drivers present an extra challenge in accomplishing this I believe. A single Walsh driver that covers a wide frequency range has an advantage here I think.
"Does it also make it easier to place by letting it be closer to the rear wall? "
In general, yes. However there are other ways to accomplish this otherwise with any omni driver.
OHm Walsh speakers accomplish it by design with acoustic dampening material inside the cage and around the drivers that attenuate SPL of sound from the omni Walsh driver in the wall facing directions.
I believe it is possible to special order CLS Walsh drivers from OHM that do not use the acoustic dampening material to attenuate sound in wall facing directions if desired. This would be more mbl and German Physiks like in radation pattern and resulting effect on optimal location of speaks relative to walls. I think OHM may use this approach for some of their Walsh A/V surround sound speakers, but I am not certain.