I don't think the argument is necessarily against the use of the tools entirely. My interpretation is that it's against delegating to them all understanding.
Humans can only usefully steer LLMs if they have some understanding or context the LLMs do not.
The person in the story can clearly usefully steer LLMs if they got that far. So either they have that understanding and context, or it's not actually as valuable as was previously thought.
Put another way: if all that you're doing is prompting the AI and giving me the result then I have no use for you. If you're not contributing insight, understanding, experience, or creativity then it's far cheaper for me to prompt the AI myself.