why a barrel 'coppers' up
Here's a video from barrel maker Lilja that may help explain why some barrels copper up and others don't.
https://www.youtube.com/watch?v=hf9zZqn00CA
In the lapped barrel, you note how smooth and symmetrical the marks in the barrel are. This barrel
should copper up less and hold accuracy longer. In the un-lapped barrel, you'll see where there are rough spots and marks that lay 90 degrees to the direction of the bore. These are the areas that are picking up the copper.
For the un-lapped, a little copper may help smooth things out. But, at some point you will have uneven coppering and accuracy will begin to suffer. At that point you will need to completely clean the copper out using something like Butch's Bore Shine or Sweets or something along that nature. You will then need to re-foul your bore. Re-fouling to get back to that accuracy area may take anywhere from 10 to, I've heard, up to 100 rounds.
On the lapped barrel, you will get a little bit of copper but nothing nearly as bad as what you see on the un-lapped barrel. Most of the 'dirt' in a lapped barrel is nothing more than the residue of burnt powder. And, fouling cleans out fairly easily. Once cleaned, fouling may take as little as 1 or 2 shots and the accuracy area may last for 100's of shots.
Lapping a barrel, whether by hand-lapping or through shooting 'lapping' bullets - like Tubbs Final Finish, will help eliminate those rough spots as well as make it easier to clean.