I don't think I advocated trying to shoot targets at that distance while on the move. Heck, most seem to think shooting at CQB distance with any more movement than a single side step will result in zero hits and the death of every bystander in the vicinity.
You may not have advocated it, but shooting on the move in defensive situation can be critical. While "most" may seem to think that shooting at CQB distances with movement will result in death to all the bystanders, most have little or not real experience in practicing such skills, in large part because most gun ranges will not allow such an activity.
So let's say for grins that you get to be stationary and your opposition who is firing at you with a rifle from about 100 yards away is moving laterally from right to left and firing at you, changing directions and moving left to right, much like in the North Hollywood shooting. Let's say the bad guy is moving at a casual 3 mph. That translates to 4.4 feet per second. Let's say you are shooting 124 gr. hollowpoint ammo with a muzzle velocity of 1200 fps with a sight axis 0.5" over the bore axis and sighted in at 25 yards. Where do you aim?
The drop will be about 10" difference from POA to POI. So a typical COM shot is going to be hitting around low gut/high hip level. If you actually aim at your aggressor while he is moving at simple walking speed, you will miss with every shot. It will take your bullet approximately 0.28 seconds to travel the 100 yards and in that amount of time your target will have move 15" and your shot will zip right by him.
Oh, but there is a problem or two. The ammo you are shooting only gets 1150 fps from your pistol and the guy is actually moving at 5 mph. You lead him by 15" because you know that aiming right at him will miss. The flight time is now 0.29 seconds and the aggressor is moving at 7.33 fps. That means he will have moved 25.5" during the flight of the bullet to him. You compensated by 15" and so he has moved 10.5" further than you anticipated and you aimed center mass and so you likely still missed the guy unless he is obese.
Of course, these are all just extremely tiny aiming adjustments at your end. After all, the aggressor probably only appears to be about the same width as your front sight looks (assuming you have a typical sort of combat sight instead of a very thin blade sight).
People often wonder how it was that the LAPD fired hundreds of shots at the North Hollywood bank robbers and were told to aim at the heads of the robbers because of heavy body armor but never managed to score a head shot. Between bullet drop and that the robbers staying in motion, plus the aspects that the typical LAPD street cops didn't qualify or train beyond 25 yards and did not train with moving targets, they had virtually no chance of hitting the heads of the robbers with handguns at long range except by random chance and that didn't happen.
If you watch the footage of the robbers in front of the wall of the bank, and behind cars, they pace back and forth while firing and you can see shots impact the wall behind them. They aren't even moving all that fast, probably much less than 3 mph and yet it was enough to preclude that vast majority of shots from even impacting them on their armor.
So the prospect of making effective hits on moving human targets a long ranges with pistols goes well beyond being able to hit a stationary target at distance on a bullseye range. That is a start and a good start, but how many Joe CCW types actually can even hit a stationary target at 25 yards 100% of the time? We see people qualifying for their carry permits who miss targets completely at 3, 5, and 7 yards or shoot 10-20" groups at 7 yards. And this doesn't even take into account issues of improper or atypical shooting stances, adrenaline dumps, being in motion, or bystanders and other influences of a real life long distance defensive shoot.