Its generally not possible to have all of the facts correct in the immediate aftermath of a disaster. It happens all the time that events are initially incorrectly reported, or people jump to incorrect conclusions. It's an everyday occurrence. To make a story that rational people, i.e., those without a predisposition, would accept, you would have to come up with a motive for intentionally lying. There have been motives advanced, however the motives ascribed are themselves not very rational.
And saying 'she lies all the time' is not defensible. Has she said things that turned out not to be true, yes of course. Is there anyone alive who hasn't? She did "mis-remember" running for cover. This is more worrisome to me, then her initial thinking that a video that had sparked demonstrations in the Arab world caused the Benghazi attack. (As we later found out, that video was a motivating factor for Benghazi participants, but the not the reason for the attack.) Actually Hillery had the most sensible comment of all when she said, "what difference does it make?" In a non-political context, it wouldn't make a difference, but in the highly partisan context of U.S. politics it made a difference!