> Try to convince me this isn’t the case.

:-)

Where is the AI going to get the information required to do the job?

How is the AI going to notice that Bob looks a bit burnt out, or understand which projects to work on/prioritise?

Who is going to set the AI managers objectives? Are they simple or are they multi-factorial and sometimes conflicting? Does the objective function stay static over time? If not how is it updated?

How are you going to download all the historic experience of the manager to the AI or are they just going to learn on the job.

What happens when your manager AI starts talking to another teams manager AI? Will you just re-invent office politics but in AI form? Will you learn how to game your AI manager as you understand and potentially control all it's inputs?

Wow, that's a lot of question and convoluted context that surely validates it's going to take time for AI to arrive there!