This just isn't true. I shot short range (100 yard) bench rest for a couple of years with a 22/250 that was a sub .25" gun with the 52gr Berger FB and H322 powder. I have a pile of 5 shot group targets in the .15"-.20" range. That load had an SD of 23 fps, but was tuned specifically for 100 yard group shooting. That same load couldn't hold .5 MOA at 300 yards no matter who was shooting.Shooter error and improperly loaded cartridges dont make a 100 yard moa rifle not moa at 800 yards - none of that is the rifles fault - so I disagree. I also dont believe anyone has a rifle that has its 100 yard groups shrink from .8 to .4 at 200 yards. I dont settle on a load unless I have single digit SD anyway.
Any successful BR shooter will tune a load for a specific range. I don't think any serious 1000 yard BR shooters are tuning their loads at 200 yards. That's because a load which shoots .25 MOA at 100 yards won't necessarily shoot .25 MOA at 1000 yards.