I'd be willing to put my old Remington Model 11 up against that Winchester Model 12 for sheer speed. I still have the parts that malfunctioned on my Model 11 and it went full auto on me. The last round went off before the first casing hit the ground, all 5 shots. It scared the heck out of me too.
The humans reaction time for a pump is still going to be more than a machines ability to do what it was designed to do. Granted muscle memory helps tremendously but the auto will beat the pump for sheer speed.