Music, like dance and theater, only exists in the moment - and memory. The composer creates a work of art and succeeding generations of performers make it available to listeners. In my experience with music, we seem celebrate the composer more than the performer. I'm more likely to say, "I want to hear Tchaikovsky's 5th Symphony," than to say "I want to hear the London Philharmonic." Of course, there's a point of sophistication at which I may say, "I want to hear the London Philharmonic recording of Tchaikovsky's 5th Symphony."
It's even more ironic in dance. I know the names of a few dancers and choreographers. But I'm quite likely to know the composer of the music. (Why isn't there a form of dance without music?) In theater, I'm likely to know the name of the writer and a couple of the actors, but not the director. Hmm...
I'm intrigued by the idea of painting or sculpting as a performing art. What if you could watch an artist creating an original work - or reproducing a master piece? That may sound deadly dull to most people, but I think it would be interesting.