I think we could get past a lot of disagreement if we could just agree on some definitions.
What we hear, physically, is what is in the air in the room. What we perceive, personally, is impacted by psychology and by our brain's ability to "re-master" what is in the air in the room to meet our expectations. It can simply allow us to "hear" as we are accustomed to hearing, to perceive stereo as much more natural-sounding than it really is, or at can cause us to hear what is not there at all.
Similar effects occur with the other senses as well. And they are so well-studied and documented that denial borders on self-delusion. Even more foolish though, and I hope I've misunderstood, is attempting to say that because audio measurement instruments cannot measure perceptions, that they are incapable of measuring, and revealing, the differences, or lack thereof, between signals, components and the sound that is presented to our ears in the room.
Tim