Resolution, detail, fidelity. Just because it isn't measurable doesn't mean it isn't critical to the enjoyment you get from your music.
Agree that these concepts are important to enjoying music, the only problem is they are not measurable *directly*.
Fidelity is generally interpreted to mean how closely the equipment can reproduce the original. That's an aggregate measure and the main one used around here is SINAD, but it's not the only relevant factor, fidelity can be lost in ways other than noise and THD, for example uneven frequency response.
Detail is a subjective term that I usually interpret to mean "how well can I hear low-amplitude stuff / how well can I hear background sounds in the recording". I think the experience of detail really is influenced by having extra treble (it tends to make short, quiet sounds more audible) but also low THD and IMD can help, since high distortion will tend to mask low-level sounds.
Resolution, as far as I can tell, is another way of saying "detail" - at least I don't know how you would distinguish the two subjective experiences in terms of measurements. Maybe flat phase response comes in somewhere.
None of these terms have official/technical definitions that you can put numbers on, so we tend not to use them as much here, and that's why ratings of those things are not given in reviews. But I agree that you would not want speakers / headphones that lack these traits.
If you get more familiar with the types of measurements published here, you will start to notice which ones correspond to detail / resolution etc. and be able to decide on those terms without relying on someone else's opinion - to me that's a worthy goal as an "audiophile", i.e. a listener that takes their setup more seriously than average. There are a lot of bogus reviewers out there and at the end of the day, numbers don't lie, or at least they lie less than people do.
