I will add my opinion of the report.
First, he came out of the break on downwind with between 1000-1100 lbs of fuel. NAWDC's min fuel on deck for an F-16 in 1000lbs. So I certainly would be no where near freaking out on beautiful day if I was starting my approach turn with that fuel load.
Second, the throttle on the F-16 is on the bulkhead. TO go through the cutoff detent and to select afterburner, the pilot has to rotate the throttle inboard and then move it forward or backwards. To shutoff the motor, the pilot has to pull the trigger with his pinkie AND rotate the throttle inboard to move it backwards. That is what is checked on preflight. I first move the throttle to the idle detent. Then I move it backwards (it should stop). I then pull the trigger and move it backwards (it should stop). I then rotate it inboard without the trigger pulled and pull backwards (it should stop) and then I finally pull the trigger and rotate it aft to move the throttle to the cutoff position to get ready for engine start. Have I forgot this check, oh yeah.
Thirdly, if the trigger was stuck, the pilot would still have to rotate the throttle out to shut it off. As I said above that is a little goofy, but it is not necessarily goes against the motion being used pulling the throttle to idle in the brake. He was at 2000'ft AGL (Air Force patterns, sigh) and 220kts at the abeam position with the gear down. For a flameout approach the book says 3000 ft AGL and 200kts for the abeam position. Take into account the time to figure out what was going on, he did not have the energy or altitude to get the engine back on or make the runway.