^It might be imprudent to overgeneralize conclusions from this research. A loudspeaker that is phase coherent might not be time coherent, though a loudspeaker that is time coherent will be phase coherent. That there was some evidence reported (though deemed staticaly irrelevant) of discernment of phase coherent recognition, then asks an unanswered question; were the correct responses consistently from consistent respondents?
From years on this forum, if there’s anything that I’ve learned, is that it would appear that while we all hear somewhat similarly, many of us seem to listen differently. For what ever reasons whether consciously or subconsciously we often times prioritize different things when listening, and are more sensitive to different aspects of sound. I believe that some are more sensitive to time and phase coherence (perhaps at the expense of other attributes) than others. For those that are, I suspect that time coherence allows for a greater appreciation of transient detail, and a quicker neurological processing of soundstage and imaging cues as they are presented in real time.
A proper step response (in an appropriate space, at an appropriate distance) is perhaps the best indication of a time correct loudspeaker. John Dunlavy had said that once a a proper step response is achieved, everything else starts to fall in place. This suggests to me that time coherence could have advantages beyond the specific goal at hand.
Some have argued that time coherence only works for given listeners in specific locations. Adherents would argue that they work just as well as non- time coherent loudspeakers for listeners in less than ideal locations, but non- time coherent loudspeakers can never really work for any listeners at any locations.
In the past, making time coherent loudspeakers was a daunting project, that not many were capable of and/or were not deemed worth the effort. I suspect that as DSP and more integrated loudspeakers become more prevalent, so will time correct loudspeakers become more prevalent.
Every other component in the chain can maintain time cohernence without corruption, why not loudspeakers?