I think that's fair for certain one-shot generations. For example, sending off a single prompt to an image or music generator and just accepting the output.
But I think most of this stuff is iterative, multi-turn. You type a thing in, see what comes back, and then repeat until you have something that satisfies your desire.
Taking the manager analogy. If you spent 30-minutes writing up a draft spec, waited for the outputs, had a review meeting where you provided good feedback, and then repeated that cycle until the product was done... Again, I think that manager (assuming, of course, that their feedback was useful) should feel some pride in shaping that output!
Taking the art commission approach, you go back and forth with the artist until you have what you want. Should you feel pride?
I think it's much closer to the art commission than it is to a manager who is managing humans, the constraints of the business, customers, etc.