Aloha Mitch
Well, I have to respectfully disagree and have measurement proof :-)
Proof of what exactly?
From a time coherence perspective, looking at the step response of my right speaker, shows everything arriving at the same time measured over a 6' x 2' grid
Yes, they are similar for the first 1ms (the direct wave, as normally expected), after that they start to be different (the room)
Doing a single measurement compensation will give the best possible result in that point, but the result is unknown in any other points.
Doing a multi-point compensation will result in a compensation that is better on average in the measured points (you add more information). In your case where you fairly explained that your speakers dispersion characteristics are such that the direct wave response does not vary much with position, and the room response is similar for all positions, one measurement can be enough as it will be representative for a larger area... but this is not normally the case.
If one or both of these are not true, as usually happens, more measurements will be needed to avoid over compensating for the behaviour in that one measured point.
Jakob Agren explained that as follows:
"Mathematically it is possible to correct a room, perfectly, in a single point. For this case, only a single measurement in that single point is needed, and also any additional measurements will indeed not contribute at all, and if used, they will ruin the result in that one point.
However, it is important to note the conditions for this to be true. A single point indeed means just that, a single point, with point meaning a spot with no width nor height.
Now this is the theory, in practice we don't sit still, we move about, even if just small distances. Also we got two ears, located at different places, on average about 23 cm between them, so our ears are clearly in distinct positions. On top of this our speakers are placed in a room, introducing a multitude of reflections. The reflected sound will arrive in different points in time, with different amplitude, to each ear, so at any moment in time the sound will not be the same in these two positions. In the attached image two different measurements are shown, with the distance between them being 30cm. only. Now, which one to choose if I can have only one?
Any solution trying to address these issues is a compromise. Completely predicting the reflection patterns is impossible with a small number of measurements, so an educated guess will have to do. The information used come from measurements in and around the measurement position. If you only have a single point you are effectively guessing what the result will be at your two ears. More often than not, your guess will be incorrect because the wave pattern, especially at mid and high frequencies, is fundamentally impossible to predict.
When we take several measurements, our guesses about what's going on in between these positions, become better and better. As a rule of thumb, it becomes easier to predict the behavior in nearby positions the lower the frequency is, and vice versa. That's why a subwoofer correction can work OK in most cases even if just based on a single measurement, whereas a high-performance full-bandwidth optimization require more measurements in order to guarantee that we don't end up mistakenly making things worse at some frequencies. The real problem in room correction is to make the best possible estimate of what can be corrected and what can't. You need several measurements to do a good job at that."
I conclude by saying that you have done a great job and I imagine that the measurements in your room were better than average even before correction, not only because of the dispersion characteristics of your drivers, but also because I read that you "have added bass traps behind the speakers, thick carpet/underlay from speakers to listening position, broadband absorbers on the ceiling, and back wall to help reduce early reflections" and furthermore "that the stereo is offset in the room" to avoid that resonances double their impact.
In other words I do not see any contradiction between your measurements and what has been explained about the usefulness of multiple measurements.
Ciao, Flavio