This is a really nice and subtle point. A score, expressive as they can be, is still a text to be performed. No one performance is the text, and the text is not a performance. There is a whole person performing the work whose identity, personality, history, sensibility and present state of mind all feed into any specific performance.
To draw an analogy - we are more than happy passing around the works of Shakespeare in its textual form. But as we know, a good performance can bring so much more than is encoded in the text at face value.
Music is really just a non-verbal language. If you become fluent in the language, you can appreciate music in its textual form just like you can appreciate Shakespeare for its literary value.
To my mind, this is why notational representations still persist, even in the age of media recordings. That higher level of abstraction still carries plenty of value and its compactness (over performance) is convenient to creators and academics who wish to reference them with fast read access.