The initial response was also not that direct. The statements cited by Kessler before Rice's comments mostly treat all the events of September 11-12 collectively, and one unnamed official was quoted as saying that they couldn't say much about the perpetrators of the "complex attack" because an investigation was ongoing. Carney's statements to the press corps on September 13th never mentioned the movie in connection to Libya, and only talked about the movie in connection with a question about protests at the embassy in Yemen. Clinton's own statement on September 14th, when the ambassador's body was returned home, clearly separates the attack in Benghazi from the embassy attacks sparked by the video.
That does not appear to be the case. It appears that the administration didn't say much of anything specific regarding the causes of the Benghazi attack, until Susan Rice made a direct comment. And even then, the day after her comments, both a State Department official and the press secretary, when about those comments, said only "we're still investigating".
And for all you know, it wasn't.