I am going to "swear in church" as we say in Norwegian, but I think it is an unquestionable fact that the passive speakers discussed here are not phase / time coheremt, when you set a 2nd order or 4th order linkwitz riley filter you get a 180 or 360 degree phaseshift, I assume you can correct this in the digital domain but then again, are we not correcting for something in the wrong place?
Making a true time-coherent speaker is extremely tough on the drivers and I assume especially the tweeter will live an extremely hard life.
I do have a pair of John Dunlavy designed Duntech PCL-15, perfect time/phase response flat as Nebraska, they have simply no signature whatsoever...., they have some magic that may be unsurpassed by any speaker I heard, no matter price.....
(but there is a lot of downsides too, bass is missing and you can't play loud, they can drive a Krell KAV400-xi into severe breathing problems without playing very loud, 82dB sensitivity for 1w, they look like crap, but it's pure magic)
I am not saying what is right or wrong, but I am saying that there is something with the best speakers that have perfect time/phase response, "some magic stuff" I think I never experienced yet in speakers with 2nd, 3rd or 4th order crossovers... Maybe it's my imagination or maybe I am ready to be visited by the doctors wearing white jackets.... I still think there is something there