(underline mine). That might just be reason why it was not detectable. Use music and linear-phase loudspeakers (this is mandatory, of course) and it is easily detected in proper ABX blind test (as is a change of absolute polarity, btw). All you need is a few allpass kernels you convolve you test signals/music with and compare that to the original (convolved with a dummy kernel so as to avoid hints from any processing artifacts). It also is a matter of training, I found that skilled listeners are readily able to detect phase shifts that, say, our 4th order crossover @ 120Hz introduces. I did a lot of these experiments both for myself as for the companies I worked for, so I have lots evidence, sadly I can't disclose. And mind you, this isn't Q&D hobby stuff, I'm working on these topics seriously for more than a decade professionally. If you look harder you might find papers and reports of experiments that give more insight than what AES etc have to offer.
I'd be happy to upload a few allpass-processed audio samples if there is any interest, and normally even with standard non-linearphase loudspeaker one can detect the differences but of course lin-phase speakers are best. The other option is you measure the phase response of your multiway, preferably 3-way speakers (or obtain the info otherwise) and use a tool like Rephase to create a correction kernel so you can test yourself.
Personally I have little interest to engage in endless discussions where everything boils down to "do you have any peer-reviewed papers that prove your point?" "there is no evidence in the literature" etc when it is so easy to get to your own personal evidence as it is in this case. Remember, this isn't useless snake oil discussions like cable directionality and such. This is real, rewarding experiments where really something is happening (well, some people are actually "phase-deaf" even after a lot of training).
Interesting points!
Concerning peer review and stuff: I ageee that it’s difficult to just take something on the authority of somebody saying it. At the same time, I do think people often forget that the “applied psychoacoustic loudspeaker research” is extremely small as a research field, and that many of the findings probably are inconclusive. Just an example: at my social science department, there were around 20 people doing a PhD last year (including me). Give or take, that’s probably more than the total number of people doing PHDs last year on applied psychoacoustic loudspeaker research in the whole world.
I do think, therefore, that a lot of the knowledge in this field is (unfortunately) hidden in the industry, where experiments are sometimes done with commercialization in mind. Still, the more evidence that can be presented, the better it is.