I don't think that tracks though. If we all lived in universal basic income world I don't think the idea of copyright would be given up. People would still want to be compensated for their work, universal basic income doesn't get rid of capitalism, it just gets rid of the less desirable aspects of it.

We would still have money but it would change in its nature. Instead of needing it in order to survive you would simply need it in order to improve your lot above whatever base level the theoretical society decided on. You would still need copyright to enforce your right to compensation and prevent others from taking credit for your work.