Yes, and I do not for one minute think a man of his caliber, whether the reason given was true or not ... would resign over something so inconsequential to the "big picture" as this.
There is more to this story than meets the eye!!!
I would be sure of it, which is why I can't understand why people are investing so much time and emotion on it. There are such parlor games in the halls of power. People come and go strategically. And consider that Petraeus never spent very long in any position he held in his career. Hell, he spent most of his life going to school and hopscotching up the ladder of command.