What if the blast at the muzzle is not upsetting the stability of the bullet or its angle of dispersion but is just nudging the stable bullet off line slightly?
A perfectly straight launched bullet nudged over/up/down .001" would cause some of the "MOA shrinkage" at longer range. Something like that could cause a .75MOA group at 100 to go on to be a .5MOA at 300. Once the bullet is out of the blast zone there is no other force but wind and air pressure to act on it.
LOL