On the other hand: many managers love to claim to have been deeply involved in the development of some product when the actual work was done at least by their underlings, or sometimes even a completely different team.

If people were similar confrontive in calling out such managers ...

Or any project of any size -- scientists running a lab rarely do the experiments or data analysis themselves -- they have graduate students and postdocs for that. Their job is to decide what those people work on.

With the same argument, you can argue that it is the programmer's job to decide which LLM shall work on the problem, and the programmer still gets the credit for the work. :-)

Yes, that's my point -- assuming the programmer actually spent some time thinking it through.