Correct me if I'm wrong, but I think Petraeus made it clear that it was the CIA that gave the administration those talking points.
The administration didn't draft up the press release, that was done by the CIA and signed off by Petraeus. At that point, whether you are Rice or the President, you stick to the information that was declassified and released by the CIA as the "official" story.
I think it would have been stupid of anyone, even the president to just release everything he knew at the time. There is a reason they only release certain details at certain times. And this goes for ANY administration. Just because the public wants to know everything immediately, doesn't mean it's good to do so.
IDK, I just don't think there is anything here.