@chayro , Those two issues, enjoying the music and analyzing what you are hearing are separate issues. I do not know about others but when I am analyzing what I am hearing I am not thinking about the music at all, my foot is not tapping.
Unless I hear something I do not like when I am enjoying the music I am not in analysis mode. If I am trying to decide what I like better, say which copy of a specific album, I have usually gone about synchronizing the two and am switching back and forth listening to different aspects of the recordings. For personal reasons the most important factor is just being honest with yourself and expelling any bias that might enter the equation.
It is hard to find someone who does not enjoy music but, fortunately for the world audiophiles are a much rarer breed. You can do both.