Yes, and if you unwrap the phase of an FFT of the test signal as REW will do, the phase response of the speaker can be seen and compared to others with the room removed if done as a gated time measurement. There is a check box in REW to see it.
If I am correct that you mean the phase that can be displayed with the FR plot, compared the two. In the leaning mode with REW. The 1996 vintage with upgraded crossover phase is a fairly smooth line with no abrupt changes. The 2005 vintage phase has several abrupt changes.
Before delving deeper into the technical area, would like to clarify and provide more information. I appreciate all the comments. Maybe not possible, but would like to keep technical details as high level as possible appropriate for the average audio hobbyist.
Back to phase. In general, I would think abrupt changes in the phase plot could indicate a problem? Room or Speaker?
The two sets of speakers are different brands. Prefer to keep the brand out of the discussion, like a blind test. I will say the 1996 vintage design is known for superb imaging. The 2005 vintage is from a company with a 50+ year history.
The videos Danny posts about "fixing" speakers sent to him inspired me to upgrade the 1996 vintage crossovers. Original component wise, film capacitors, metal film resistors, hand wound iron core inductors. A couple "audio grade" electrolytics the designer recommended replacing with good poly caps. The upgrade was all poly caps, air core inductors, and better quality resistors. Also installed tube connectors. Big improvement approaching the speakers disappearing.
The 2005 vintage crossover is all stock, borderline cheesy. Pretty much falls in line with what Danny talks about regularly. Pretty good drivers, most of the cost in cabinetry, and the crossover is cheeeeep. However, published and confirmed in reviews a darn close to ruler flat FR. With more listening time and placement tweaks, a little more life. My yardstick for comparison are several live recordings. The 2006 vintage are not bad by any means. For my room and my ears definitely clean and accurate, but does not convey the "live" of live recordings.
Agree, room is a big factor. Much in the way of treatment is just not in the cards.
Think the only way to satisfy my curiosity is to upgrade the 2006 vintage crossovers.