Practice...any practice is always a good thing. Nowadays my shooting is pretty much relegated to putting a round or two on a target as fast as my eyes will allow. Getting older makes all of this harder.
One thing I never, ever, never , never do is practice head shots. I'm not a SEAL, I'm not on the FBI HRT. I practice only to put a round into the largest available blob of threat I can see. My main concession to achieving some sort of ego gratification is that I usually shoot at 1" dots placed on various targets that I use. If I can hit that quickly, I figure a man sized chest should be achievable too.
I rarely use my sights when practicing a fast response type drill. Point and shoot is the most probable event to occur in reality. I do of course practice using sights, but it slows down the first shoot quite a bit.
As you found, shooting while moving is very hard and most people will never practice enough to do it well. It takes huge amounts of time and ammo to become proficient at it and I've neither the time nor money to keep up to any useful standard. This is truely difficult when combined with the target moving, which is more realistic. If I shoot at something I can safely say I'll be standing still, hiding behind something or possibly moving backward. If you practice any movement skill, IMHO, it should be moving to the rear.
Just a few thoughts... sparked by your video. Success!
Judging by today's left wing, looks like Senator Joe McCarthy was right after all.