Programming and just about every other job is an art as well with that argument. If we aren't allowed to automate away that then we aren't allowed to automate anything.
It'll all vary based on what and who is automated. I'm sure there'd be less(but non-zero) fuss if we were trying to automate plumbing. I'm sure there'd be entire riots over trying to automate professional sports leagues.
I'd say the art industry is somewhere in-between because of
1. Being a traditionally disrespected but non-trivial skill to acquire
2. A skill valuable for advertisement (good art -> pretty ads -> more money
3. A valuable skill, but not one many industries need full time work from
4. Due to #1, a "vulnerable" industry. There won't be too many millionaire artists to fight back against the AI Overlords compared to, say, Politicians or businessesmen.
But it's not like I have any say on who or what gets affected.