Some of the best songs in the world are very poorly recorded. Eg: The First Time Ever I Saw Your Face by Roberta Flack. It still touches your heart and soul. So recording quality is not a must for me. I listen a lot of ordinary songs if recording is spectacular just to hear how well system presents the song. Recording quality definitely matters but if song is good it is not a deal breaker.
Does it have to sound good for you to like it?
I listen mainly to classical music. The SQ of classical recordings is all over the place, not nearly as consistent other types of music. Recording large orchestras is a complicated and difficult endeavor. Smaller ensembles are easier to record. So, if you listen to a great performance of an orchestral (or any) recording but have trouble with the sound will you avoid listening to it?