Traditional measurements illustrate how machines hear, not how humans hear.
Yes this is a good point. We may be discussing from incompatible and quite different perspectives/objectives. My perspecitive is audio reproduction with high accuracy. Most people may only be concerned themselves with what sounds subjectively nicer to them.
For example, it has been demonstrated that audio compression with the distortion and the reduced dynamics that it brings can be pleasing to the ear - making music sound more punchy and fat. So from a "what sounds best to me" perspective then any viewpoint can be valid. (Analog tape machines and certain circuit designs are highly prized for the sound they impose on the recorded music)
This divergence in goals is analogous to the difference between trying to follow a recipe exactly (reproduce what the cookbook calls for) or adding a bit of extra or different spices (not following the recipe rigorously). I want to hear what is on the recording. I appreciate that others do not necessarily seek that at all and it make for a discussion confusing.