Art, music, writing... those are all cheap. They've also already got plenty of good models out there, and people will judge you for using them.
The places where American society needs costs cut or needs an increase in labor - healthcare immediately comes to mind - are places where you'd be asking Anthropic (or any other AI player) to take on massive amounts of liability.
If you screw up someone's drawing, you regenerate the drawing and charge the hack/fraud for the privilege. If you screw up a blood bank order, you pay the survivors a few million dollars. Since you've created a system that can scale blood bank order up-screwing, you'll be doing that a lot. There's not profit in paying out medical torts.
Given that SV-based companies work to dismiss liability even more than most American companies do (which is saying a lot), I don't see that working well for them.