Lots of good posts. For me as well, I've seen so much variance I'm not sure that the original premise of 1, 2 or 3 works well enough that people can really be slotted into any particular group, it's a combination of them all.
Also, people are apt to change their views in light of hearing something they enjoy more. So many people come to me asking for a cable with nice tone but almost invariably when they try a cable that is neutral they prefer it. Why? Because they heard a better alternative and changed their mind. So in effect they shift from 3 to 2 a bit, realizing that reproducing what's on the recording with better fidelity results in greater listening pleasure vs having this warm tone they thought they wanted.
What I have noticed that people want is an IMMERSIVE listening experience that is devoid of issues that cause listening fatigue. All the other crap that Harman/Toole believes and has tested for is secondary to this goal, at least that's the conclusion I've come to after a lot of testing. However, I do believe that a lot of the things Harman believes most important really are important, but not for their own sake, but so the IMMERSIVE experience can be created. What we haven't really defined is exactly what causes an immersive listening experience that people are so happy with when they hear it. I believe that the key characteristic is the listener's ability to hear fine detail in the recording without interference from the room's acoustics, and with a low-level of sound characteristics that stimulate the nervous system's "alert!" buttons, which allows the listener to relax into the experience, the brain isn't working as hard interpolating, and overall it's less "work" to listen. I think we've all heard systems that seem like work to sit in front of, this is because of distortions that stimulate the nervous system, these are poison and need to be eliminated or reduced to a level where they aren't causing problems. In most modern HiFi systems this isn't the case, unfortunately. These distortions also mask fine detail so it's doubly bad. It would be just as helpful to make a list of what to avoid that kills the immersive experience as well as what creates it.
So, my theory isn't that people are trying to achieve 1, 2 or 3... they mostly use experience as a guide to form their beliefs wrt what they like, then attempt to explain it with logic like 1, 2 or 3. Whenever they hear something that has the character of an immersive listening experience then this is what they prefer. So far in my testing this has been fairly universal, while people are more or less sensitive to other specific issues like bass impact, etc. they are all very sensitive to the details that make or break an immersive listening experience. Also, all of this seems far beyond current convention and stuff like interconnect quality is absolutely key to achieving it, so it may seem foo-foo or whatever but the truth is I've found it to be more important in overall listening satisfaction that many things that are easily measured and defined. Modern high end has a lot of shortcomings by not recognizing these issues and factors, and it's evident in design priorities and the inability of a many cost-no-object HiFi systems to provide an immersive listening experience.