I have heard from a few sources (so it must be true, right?) that Jerry M teaches people in his wheelgun classes not to have a "dead gun". While your shooting, he says you should keep the trigger in motion.
It struck me in my practice today, that for most types of shooting, one can apply the same concept to autos. Instead of keeping the trigger moving though, you keep the sights moving. Either moving while the gun cycles, or moving to the next target.
I have no Idea if this is a viable concept or not. Its just an idea right now, probobly requires some experimentation.
Ben