I wish I could chime in helpfully here... but I can't.
I'm going to be playing with my first AP filters in my own DSP install, first I've ever personally owned, and first I've taken further than an initial tune - which still isn't complete.
I definitely want to get my hands on SMAART because so SO
SO much is hidden invisibly and potentially frustratingly, after you've done your EQ-ing, aligning, and even acoustical interior treatments. I've never had it that tool OR a way to mitigate those issues, so being able to actually MEASURE those phase shifts, apply AP filters, then observe your impact in the phase realm - just awesome.
I suspect your phase anomolies are actually DUE to your crossovers - as the sound rolls off below the high-pass frequency, there is a phase shift, no matter whether you picked bessel or butterworth or linkwitz-riley or anything - in fact that's the reason system designers have historically tried to use as few drivers as possible. Ideally a single point-source driver would most accurately reproduce the sound because it is perfectly phase-correct. Even if you had a mid and tweeter that were theoretically perfectly flat in dB level from 20hz up to 20khz and beyond, you need that crossover point - which even if perfectly aligned so there's no dip in frequency response, it does mess up the phase on both side of the Xover point... for the tweeter, below it, and for the mid, above it.
The steeper the slope, the faster they roll off, but also the faster the phase shift happens.
Traditionally it's been impossible to really correct for this - but it seems like with the right tools and DSP/filters - I mean wow, this really is one of the old-school fundamentals being tackled here.
If - *if* you could actually flatten the frequency response across a crossover point, AND flatten the phase response across the crossover point, you absolutely could dramatically improve your imaging.
I almost typed "to the degree where you emulate that theoretical-ideal point-source driver", but unfortunately the complex reflections in our car interiors would prevent us from QUITE getting to that perfect ideal, since the two drivers do need to be in two different locations in space physically - but maybe it would open the door for systems more like my current install (sub... midbass... midrange... wideband... tweeter... read "way too many Xover points for phase coherence) to be as good as my old-school ideal systems for imaging (sub... 6.5 midbass/midrange... tweeter that can reach from below 2khz to over 20khz). The old school ones WERE difficult to nail imaging particularly right around the Xover point - which had everything to do with this phase shifting, and that's a fascinating aspect of Psychoacoustics...
Consciously, you can't really "listen" for phase.... other than being aware that the image isn't correct. And it's entirely your subconscious recognizing that the sound isn't exactly correct. It's completely what led me to be fascinated with the very concept of imaging.
Still - what a tool, so effing cool... At least to a geek like me.