Most audiophiles do have a greater appreciation for music than the general public, as it is this very appreciation that has likely led to a fascination with sound quality in the first place. In other words, most audiophiles become such because they have a passion for music, and want to be able to enjoy their passion to the fullest.
It is important to note, however, that simply becoming an audiophile does not guarantee a greater enjoyment of music than before. That's why I think it is generally a good idea to pick gear that stays out of the way and lets you get lost in the music. I see a lot of people put too much stock in the preferences of experienced members or objective measurements rather than sticking to what they personally enjoy. When this happens, people start to listen to the gear more than the music in an attempt to justify their purchase. You shouldn't have to force yourself to like something.
If I am being completely honest, I still struggle with this concept; it's hard to not ask myself "what am I missing?" "why don't I hear a difference?" etc.
Edited by SgtPepper - 10/21/12 at 9:21pm