[Lurper]

Even the fastest world class shooters aren't going to be able to out draw and shoot down a BG who already has a weapon in hand.

That just isn't true. It happens all of the time. It has more to do with the fact that action beats reaction and that the assailant doesn't intend to kill you than it does with physical speed. But it isn't that hard - try it.
Perfect example:
Two men one armed with a shotgun walk into a senior center during poker night. Four seniors are enjoying their weekly card game. The man with the shotgun fires a round into the floor to prove he means business then points it across the table. One of the seniors is so startled he falls out of his chair at the sound of the shot. Thinking his friend has been shot, another of the seniors pulls out his licensed .38, shoots the assailant once. As he is hit, the shotgun weilding assailant turns, shoots his accomplice in the arm and drops dead. His wounded accomplice flees and is arrested later at the hospital.

That's one of the most comical. But it is not an uncommon occurance even for those who aren't that skilled.

I could understand that if the GF occurs at 10-15 yards or so, then movement may not be crucial.

It's the inverse: at longer ranges movement is better. At closer ranges, speed is better. The other thing that advocates of moving fail to acknowledge is that it doesn't necessarily mean you are going to be harder to hit. Particularly at 6 feet or less.

I've heard of accounts were POs fired 5-6 rounds of .40 into a BGs head and finally after the 6th he went down. He was still talking up until round #5 and fighting until round #6. I think that we would all consider the "computer" to be pretty good shot placement.

You can cite statistical outlyers all you want, but they dont' prove a thing. That happens in less than one percent of the cases. Again, 85% of the time handgun wounds are survivable. It doesn't matter whether it kills them or not. What matters is that they stop what they are doing. In the majority of the cases, the assailant is more concerned with their survival than with killing you.

What if that initally shot or volley of shots is ineffective and the adversary is able to reaquire us, shouldn't we move again, or better yet just have kept moving until the threat is neutralized?

Shoot again, moving does not neutralize the threat.