Are you serious. Publish the score? I think you might be just be referrng to European classical music, like there is nothing else.Well, we do have access to what the composer wants because, as with many he publishes his score. And I would also argue that we can hear what the performer intends even though this may not be reflected in the recording because that is reflected in dynamics and tonal control and other things which we can already hear (even in poorly recorded instances).
This is an open-question by the way. I don't know the answer.