Regarding culture, there would be always people interested in real music, real books, real movies etc, AI would be a tool, more useful in some works like medicine, investigation etc, probably it would replace many mechanical or administrative works, but many others would survive.
It's been the same since industrial development, many works disappear and are substituted, people reinvent themselves.
A drummer always would have work as there would be always people who would want a real drummer. People thinking in substitute a real drummer for AI, won't hire a drummer anyway. There would be less work? Yes, but there would be work if you are good enough to be called from those who still want the real thing.
And despite AI develop, a real creative genius would be always better than AI, and there would be always someone who would appreciate that.