The difference with Movie director at least is in details. IT director most likely does not care about Python, bash, js, mermaid, performance characteristics and so many other things that AI agent might have used to solve the problem. The user of these AI innovation are not having much say. They are not going to be voting with their wallet or feet.
For movie director the details of process matters a lot. Unless of course I am shooting 2 min video on my Motorola phone, while my kid is cutting her birthday cake, and call myself a movie director while doing it.