Any person participating in art music (as a professional or hobbyist or otherwise) owes it to themselves to be musically literate.
That is, a person should know the repertoire and the major figures and general characteristics about styles and time periods. A person should always be listening to more music.
That’s a huge part of being a musician of any genre. Great jazz musicians listen to a lot of jazz. Virtuoso rock guitarists most likely listen to (and mimic) a lot of virtuoso rock guitar. Great art musicians listen to a lot of art music. There’s a lot to be learned from listening, especially outside of your own instrument.