It took several coffee-breaks to get through this text. And though I disagree with some parts, I find there is much more common ground. To go into detail is beyond this random forum discussion.
So instead I make my comment on something we do agree upon. With a little addition at the end.
Flat on-axis frequency response looks like a no-brainer, and it is not very difficult to achieve. Yet many speakers show quite strange responses, many of which are highly rewarded. Are we missing something here? I think not. Some speakers are tuned to give a reasonably neutral tonal balance in-room, and if the off-axis is colored, the on axis needs to be adjusted. Then you end up with a speaker that can be quite neutral, when placed as intended, in a room with certain acoustic properties. The obviously better solution seems to be to correct the radiation pattern of the speaker, and end up with a speaker that works well in any room. And it does - to some degree.
Here I show you the frequency response of a system in a typical living room, this is a recent install. Looks reasonably good. But this graph does not say much about the sound of this system. It misses how the room affects the response in the time domain, and how the spectral balance of the decay in this room affects tonality.
The owner of this system lives nearby, so he has heard my rooms many times. He does not need a blind-test to know which is preferred - the treated room, or his larger untreated space. The difference is extreme. But fixing the room is not an option, for practical reasons. So this is my challenge, as a system designer - make it work in this room, as it is. Design a speaker that works in any room, and find methods for placement and calibration.
The speakers are the most important here, and flat on-axis + smooth/controlled pattern works better across a majority of different spaces, that is what I have found. And I have measured and listened to a lot of different rooms.
I chose to implement some smaller minimum-phase frequency corrections in the midrange, and this improved tonality. Room correction with FIR/phase-correcting filters can not fix this.
Then I suggested moving the speakers out into the room, closer to the listening position, and even have an alternative listening position closer to the speakers, for those occasions that the best possible sound is to be experienced. And it works, the sound is then closer to my treated rooms. Why it works is no mystery.
Here is the graph that really tells nothing, perhaps other than that the speakers indeed have smooth, flat frequency response. Still, this is what most people obess about:
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