It is impossible to know if the order would have helped, but something should have been attempted; especially something as low risk as as an overflight.
"A U.S. ambassador is missing and his diplomatic team is desperately fighting off terrorist attacks. Our commander-in-chief and his national-security team in Washington are listening to the phone calls from the Americans under attack and watching real-time video from a drone circling overhead. Yet the U.S. military sends no aid. Why?
On September 11, at about 10 p.m. Libyan time (4 p.m. in Washington), Ambassador Chris Stevens and a small staff were inside our consulate in Benghazi when terrorists attacked. The consulate staff immediately contacted Washington and our embassy in Tripoli. The White House, the Pentagon, the State Department, and numerous military headquarters monitored the entire battle in real time via the phone calls from Benghazi and video from a drone overhead.
Our diplomats fought for seven hours without any aid from outside the country. Four Americans died while the Obama national-security team and our military passively watched and listened. The administration is being criticized for ignoring security needs before the attack and for falsely attributing the assault to a mob. But the most severe failure has gone unnoticed: namely, a failure to aid the living.
Fighter jets could have been at Benghazi in an hour; the commandos inside three hours. If the attackers were a mob, as intelligence reported, then an F18 in afterburner, roaring like a lion, would unnerve them. This procedure was applied often in the Iraq and Afghanistan wars. Conversely, if the attackers were terrorists, then the U.S. commandos would eliminate them. But no forces were dispatched from Sigonella."