Though thought-provoking, I think the analogy is flawed. There do exist millions of independent readings of poetry, enactments of plays, and performances of ballets, each of which will be slightly different from the creator's vision and be either better or worse (or even neither) for it.
To connect this to the current thread, the difference here of course (that you yourself pointed out in fact) is that music is a performance art, i.e. in your words it can be "manifested," while the same does not hold for painting or sculpture. Great ballet dancers and actors are regarded with celebrity just as classical performers are.
sup