I think it's possible to shoot a 4 inch group at 500 meters with iron sights, just like it's possible to bench press 1000 pounds, but very very few people have the physical skills to learn to do either, and fewer have the combination of physical ability and drive to learn to do it.
As a small aside from the gist of this thread, I'd like to see a side by side study with say 10 top marksmen shooting several groups at 1000 yards with iron sights, and then shooting several more groups with the identical rifle with a high powered scope, as high as they desired, and then compare group size between the iron sight groups and the scope sighted groups. Wonder how much difference there would be? I suspect less difference than most people would think.

Royce