A loudspeaker driver itself already behaves as both a high-pass and low-pass acoustic filter. Once you add even a single capacitor (a 1st-order electrical filter), the resulting acoustic slope is, in the best-case scenario, effectively 2nd order.
So the idea of a “true 1st-order acoustic high-pass loudspeaker” is largely theoretical and practically nonexistent in real-world driver behavior.
That’s why I think your conclusion is based on information that sounds well-read, but is actually quite questionable from a physical and acoustical standpoint.
Also, phase and time behavior are not problems that magically appear only because of higher-order crossovers. Every driver has its own phase rotation, bandwidth limitations, acoustic center offset, breakup behavior, and natural roll-off characteristics. The crossover simply interacts with those realities.
And regarding the “live instruments are perfectly phase coherent” argument — real instruments are spatially separated sources radiating into a room with reflections, propagation delays, and complex phase relationships all the time. Absolute phase coherence at the listening position does not exist there either.
For reference, here’s a measurement I made today of my Scan-Speak 18M.
View attachment 534953
One more thing.
My daughter plays flute, classical guitar, and piano. During the lockdowns I had to record her performances with two microphones and send them to her teacher regularly.
Honestly, there was no dramatic “this is obviously fake reproduction” moment for me when comparing the sound of my speakers to hearing her play live in the same room. Of course they are not literally identical, I’m not claiming that, but the gap was surprisingly small.
Maybe this sounds a bit arrogant, but my speakers are apparently not as terrible as some people here would like to believe.