That's a good example of why I think phase and time are not substitutes for each other.
There are two sources of apparent phase rotation whenever we make a measurement.
One is constant time. And yes, it will show phase shift increasing with increased time.
But it is irrelevant when thinking about phase, imso.
Because any constant time needs to be removed from phase measurements.
Constant time's effect on Phase vs Frequency is simply a straight line when frequency is on a linear scale.
The straight line's slope equates to the fixed time delay in the measurement.
Get rid of the slope by getting rid of the fixed time delay, and the effect of constant time goes flat level.
Then all that's left is true phase rotations due to crossovers, or driver min phase roll-offs.
Time really has nothing to do with phase rotations
Phase rotations can only be corrected/countered with offsetting rotations.
Understanding that is the key to advanced xover design imho.
The idea of time used to offset phase rotations is a compromise kludge of varying effectiveness.
Most often it's pseudo time (degrees of phase rotation translated to constant time at a particular freq).
I think using pseudo time has become common historical practice, because the difficulty in working with IIR, or perhaps better said... passive-xovers.
fwiw, I know I would have never come to my conclusions if not for years of work with linear-phase xover design.
It's is so much easier to see how phase works, what phase means, in the absence of xover induced phase rotations.
There is no question in my mind anymore that phase belongs only to the frequency domain.....
.....picturing it as in the time domain too, is an immense source of confusion for about everyone it seems. Was for me too for a loooong time
(or should i say for a huge amount of phase rotation ..
.just kidding LOL)