I think you misunderstood my comment.
I wasn't referring to the LYD series.
I was saying that, back in the old days, >20 years ago, one of the reasons some designers preferred 1st order crossovers was the claim that it gave better phase coherence.
My old Audience 42 had a 1st order electrical network.
On the woofer leg right? But not on the tweeter leg.
Anyway, Like you said. what matters is the acoustic response on each driver...