Side note: This is such a great (and hot) song, seriously.
Yeah, of course it's ridiculous to say a quadra isn't musical. A lot of pianists are ISFj (me included) and the LIE girl I know is all about music and plays guitar/sings/etc. plus takes on the business and technical side of her art and band and has learned everything about recording and production on her own from the ground up. She takes charge of music in a very LIE way. She also knows more about music history and different artists she admires than anyone I know.