I didn't see it as a generic sexist remark regarding women.
It was a specific jab at her competence.
They would have had no problem with her having a position if she were incompetent in it.
Producers and the competent are the enemy through the whole novel.
I'm not sure about the lack of sexism. I don't know about Eubanks, but Jim was shocked at the idea of Dagny holding the post of VP Operations because she was a woman.