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It's important that the signal from all drivers arrive at your ear arrive at the same time! This got nothing to do with the phase of the recordings!

Why?

What, other than phase through the crossover, is effected by time alignment of the drivers?
In the Goldmund the tweeter and bass unit of the main speaker are offset by the difference at the speed of sound in air at the crossover frequency.
This is probably sensiblish, but since the 2 units share output over a reasonable frequency range it would be "wrong" for most of the overlap (if it mattered).
The main unit is adjustable on the bass box by a huge amount but probably pointless since at the crossover frequency the wavelength is huge, and adjustment could only have a negligible effect.

You are basically saying that the designer of your speaker and other designer like David Wilson are stupid making the effort to make their speakers adjustable in the time time domain. It's not these designers who are stupid!!
I have absolutely nothing further to say to you!

I haven't said anybody is stupid. I have left my speakers as standard and love them.
You OTOH have heavily modified speakers, so you presumably do believe the Avantgarde designer is stupid.
You also believe in cables making a difference so are, IMHO, susceptible to the placebo effect, like many on audio forums.
I don't think logical engineering will be any assistance to you.