It's been my non-scientific observation that it's the 1st order crossover that creates the image perception over such a narrow space, <1 SC.
At the crossover frequency, the drivers will be properly aligned with time & phase. But a 1st order crossover allows the drivers on either side of the crossover to produce sound over a wide range of at least 2 octaves above & below the crossover frequency. That allows plenty of opportunity for the drivers' sound to get out of phase or time. In contrast, 4th order crossovers only allow drivers to audibly operate within 1 octave of the crossover frequency.
That is enough to explain (in theory) how Vandersteens require audiophile head-vises. Time alignment may have nothing to do with good imaging. That question might be settled by listening to two identical speakers, in physically time-aligned cabinets, where one had a Vandersteen-style 1st order crossover, and the other had a 4th order L-R crossover. I'm certain I'm not going to do that. Where are all those eager DIY builders when they're most needed?
I can't think of a better example than B&W. Their 800 series speakers make it clear that the speaker designers do actually know how to design & build good speakers. And all their other speaker series make it clear that the bean counters rule over the designers.
I have been through that period. The trouble with first order time aligned crossovers, is that you end up with quite a few drivers to cover the spectrum. Also you need really small drivers close together. This minimizes the time shift with changes in position. In addition the axis is downwards, so the drivers have to be fairly high to properly align at the listening position. So the speaker has to be tall or upside down. I went through this phase, at the same time as Dynaudio. They chose the upside down approach with the tweeter on the floor. When I listened to them I could not escape feeling that the orchestra was playing through the floor. I was in contact with the good folks at Dynaudio at that time and we were shooting ideas.
Anyhow, I decided not to be quite so hair shirt, and the speakers, now my rear backs, were time aligned above 180 Hz. That is a third order active, crossover to maintain a 15 degree downward axis, the others are first order at 900, and 5000 Hz.
The KEF B 139 are in a TL and so is the 6" mid, but it is totally damped and not a speaking pipe.
This speakers where a nightmare to get right, but in the end they turned out to be really good speakers. But I did learn the lesson not to do it again.
I got to visit with the folks from Dynaudio and heard their contour, apart from the weird image it was a good speaker.
So these speakers are still giving good service, and have a really good accurate bass response. Just by dumb luck they are ideal for this application, as the three upper drivers are above the seat backs and the axis down to the listening position.
This is the FR.
There is a shallow null in the 900 Hz crossover region, but not too bad. Most first order crossovers look a lot worse than that. You can see the impulse response is excellent.
Anyhow I have not gone down this road again.
Even if you use DSP, you still do not change the driver spacing issue. That is why there really is a crying need for much wider bandwidth drivers. That is the real solution.
Ted Jordan knew that, and it was his life's work, and he moved it forward more than anyone else.
By the way you miss spoke in another post. Sealed enclosures roll off LF 12 db. per octave and not 6 db. Vented B4 boxes roll off 24 db. per octave and not 12 db. per octave. Passive radiator boxes roll off 36 db. per octave generally. Aperiodic TLs roll off 12 db. per octave as a rule, the mass loaded 24 db. per octave.