A solid system should be able to make the music come to life and I agree that musicality and realism should be more important than things like resolution and perfect playback.
I've also found myself in the trap of listening just for sound purposes. It is part of our minds getting into habits when we are auditioning gear and trying to find what sounds the best.
Best advice I can give you, which I give to myself, is if you find yourself listening more to the sound than the music, take a deep breath in and out while trying to focus on nothing but the music itself. Then do that again. If you get distracted, let that thought pass and continue to breath and listen to the heart and soul of the music, stretching your mind into it until you become totally entranced.
This can be done at any point during one's audiophile journey. Breathe and let the music speak.

