@mapman +1 This is more what critical listening means for me, critical listening is listening with great intention, again, critical doesn't mean judgement. On the other hand, analytical listening mode is intentionally judgemental, you are listening specifically for qualities of sound rather than sound quality. Critical listening should bring about appreciation for sound quality, I go into virtually every listening session with great intention for appreciation of sound quality, I donj't listen to my main system casually. Now sometimes during these critical listening sessions I may hear something in certain recordings that is salient to the point it brings about an intention to analyze.
After decades of practice/experience I'm always aware of the listening mode I'm in. Critical mode is my favorite mode, again, this is not a judgemental mode. At this point in my audio journey I'm never in pure music appreciation mode when I listen to my audiophile system. Per the above I'm mostly in critical listening mode, this is intentionally an appreciation for both the sound quality of my system and the performance of the musicians. And this is also necessarily an appreciation for the engineering/production values of the recording, something that seems to be completely forgotten in this discussion. The kind of appreciation I'm speaking of here is non judgmental so that recordings with flaws can be enjoyable.
Bottom line, I'd find this entire endeavor intolerable if I couldn't listen with great intent and non judgment to the musical performance, sound quality of both my system and the recording, perfection rarely if ever exists, flaws are ever existent I submit the entire reason I got into this was to have appreciation of all three of these aspects of listening to recordings on an audiophile system. If I'm only seeking musical enjoyment I can find that easily enough with relatively low end systems such as in my cars or work system, with these systems I care little about system and recording sound quality. My take is if you're not listening to your system critically, something in the system isn't aligned with your sound preferences and/or pales in comparison to some reference system you heard or have illusions about.