Actually, the way copper fouling builds up, generally, is that the copper at the rear of the projectile is subjected to such extreme pressure and temperature that it atomizes. Once the projectile exits, the gas cools, and the atomized copper is drawn (attracted) to the steel. It is less attracted to stainless steel than carbon steel. The extent of copper fouling is also related to the extent of "courseness" of the rifling/lands.
That explains too why rifles sustain more fouling than handguns, more pressure, more velocity. I clean the rifle when I see accuracy begin to drop, or when I am done shooting and ready to store the firearm.
When I purchase a new rifle, I look for one that had zero to minimal fouling right from the factory. Krieger has some great reading about fouling, breaking-in barrels, etc.
Geno