I don't think so. You can't help but be musical. Remember that a pianist may not play as we expect him to, since we might not be even thinking of the same interpretation. As a result, we might hate his music, but it IS music to his ears. Music is in the ear of the beholder, right?
Or he might not even be thinking of the piece, but "what's for dinner? hmmm..." and yet we like the music that's coming out. You never know what's in an artist's mind, but something is in there for sure.
I don't understand how one can "serve the music" since "the Sabbath was made for man, and not man for the Sabbath"! That is if we deny our individual voice to even the greatest composers, I think we are diminishing ourselves.
I do understand finding that special "click" with a piece, it feels sooooooo good when you find that connection. (I call it inspiration.) And yet I know a lot of people who can play pieces without that connection, and still play well. At least in my opinion. And unless you really know these people, you can't tell the difference between an inspired and uninspired performer.