What actually happened the night of the raid, according to the SEAL Team 6 operator who I interviewed, is that the “point man” ran up the stairs to the top floor and shot bin Laden in the head when he saw what looked like bin Laden poking his head out his bedroom door. The shot gravely wounded al Qaeda’s leader.
Having taken down bin Laden, the point man proceeded to rush two women he found in bin Laden’s bedroom, gathering them in his arms to absorb the explosion in case they were wearing suicide vests, something that was a real concern of those who planned the raid.
Two more SEALs then entered bin Laden’s bedroom and, seeing that al Qaeda’s leader was lying mortally wounded on the floor, finished him off with shots to the chest.
This account of bin Laden’s demise is considerably less heroic than how the Shooter is presented in Esquire, in which he says he shot bin Laden while he was standing up and only after he saw that al Qaeda’s leader had a gun within reach.