Interesting discussion.
Fast hands may frequently be dangerous.
However, equally are there occasions when fast hands can save the day?
How fast do you hands have to be to get the collective down in a light helicopter with little inertia in the blades following a catastrophic engine failure?
How fast do your hands need to be when the engines fails at max climb after departure?
Perhaps some other cases come to mind.
When one of my engines failed recently however I was very glad to take some time to assess what had happened and what I should do next. Time on your side is always good.