Is Cortana Insubordinate?

One of the favorite topics of discussion among Halo story obsessives has always been Cortana. Old school Bungie fans remember that advanced artificial intelligences aren't always the most reliable or trustworthy allies. Although I've always argued that Rampancy, as such, doesn't literally exist in the Halo universe, I think there are still reasons to doubt Cortana's character. One of the first noticeable changes that the script introduces, compared to the comparable cutscenes in the first game, is making her borderline subordinate in the exchange over who should pilot the Autumn on its way down to the surface of Halo.