As we both said, the difference between the Secret Service teams of Cheney and Bush is pretty much night and day.
There was certainly much confusion that day. Once they finally got out of the school they realized AF1 itself might be a target, and there was a big delay while they had dogs check the plane and everything going on it on the tarmac. Why did they take that into consideration? Because that's where the President was expected to go.
After some flying in circles and arguing, Bush was sent to a nuclear bombproof bunker in Nebraksa, not Washington as Bush wished. Why? Because Bush might be expected to return to the capital where he could be attacked.
It's not a matter of what he could have done in those minutes -- it's really a matter of why the would anyone want the POTUS to stick around and stay on schedule in a vulnerable location while the nation is under attack? It's just dumb.
But yeah, thank God those self-admittedly clueless kids weren't slightly confused just because the leader of the free world had to be somewhere less easy to be killed.