markp -- First of all, a 6.37 is nothing to sneeze at.. especially if you can reach a point where that's something you can do on demand without warmup.
Second, as you can see, misses crush the score on this test. It is so much better to take an extra moment to verify your sights, and another extra moment to perform a proper trigger press, because even if that costs you half a second on the drill it reaps huge rewards with a clean run.
I see that as a parallel with any other shooting-under-stress problem, too. At Southnarc's AMIS class early this year, during the final scenario I rushed a head shot by just a fraction of a second and found myself eye sprinting instead of guaranteeing a good hit. My shot glanced off the side of the bad guy's helmet and in real life most likely would have whizzed past his head instead of entering it. Pulling it together and doing what's necessary to get the shot is what it's all about...