Impossible to identify the ambassador from drone video. The video that did show him being dragged was posted on the net post event. The CCTV surveillance video was retrieved much later by the FBI. The ambassador went missing. In real time DC they did not know where he went. They didn’t see him being dragged out so that could not have influenced any decisions.
The State Dept woman, testified that she was watching the surveillance camera feed in real time. If the State Dept woman was watching, so was Obama. They saw what was happening.
Why do you doubt that? Of course, they couldn’t identify the ambassador from the drone, but knew that he had been dragged out and they knew that someone was being paraded through the streets.
Obama knew the ambassador was dead and he ordered the Stand Down at that time and went to bed, leaving the “senior advisors” in the situation room to watch the rest of the attack.