If you make this stand, you're committed to calling many other professions managers, which you don't. You probably haven't fully cashed out your own position yet.
Where is the difference between telling an AI what to do and telling a human programmer?
Lets make an experiment. I give you a slow AI which you can prompt once a day and you get the answer the next day.
Are you still a programmer?
What if I randomly replace the AI with human programmer who delivers your code.
Still a programmer if a human wrote it?
I can ask AI to create an illustration but I would call myself an illustrator.
I wouldn’t even claim I calculated the root of 1,234,567 when I used a calculator to do it.