cold calling isn't an art, but smooth talking/networking is. There's no exact science to making people feel good and wanting to form a relationship with you (despite centuries of literature claiming that there is).
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.
Based on the response upstream, I assume they were talking about the latter. There's no art to door to door sales reading a boilerplate. There is an art to researching a customer and curating a proper response to make them feel good.
They said artists. Artists means people who make art commonly. Not everyone with a non scientific skill. The word was incorrect no matter what they meant.