JB Paste
JB paste does a great job of removing carbon, or at least of making patches black. I don't think it accomplishes much in the way of polishing metal. Precision shooting had some good articles on lapping and polishing barrels. What I remember is that JB is about 900 grit, which, if used to actually polish a barrel to that fine a degree, would definitely result in worse fouling. that highly polished barrels create more fouling was experimentally proven.
A rough leade is the source of most copper fouling, whereby the copper goes into suspension in that area and is deposited further down as it precipitates out of the burning gases. Copper fouling reducing powders act to prevent this precipitation and thus copper fouling. If your bore scope shows perpendicular tool marks in the leade, you may benefit from polishing that area with 220 grit followed by 320 grit. Fire lapping is another option.
A good custom barrel will likely not have such a rough leade. I have hand lapped a couple of new run-of-the mill barrels which then gave good accuracy and fouled very little. I did this only based on bore scope evidence. I did not choose to lap my Savage Long Range Benchrest 6mm BR. While not a real stellar performer, copper fouling is not one of the big issues with that rifle.
An old barrel with pitting and/or alligator skin may benefit from some lapping if it copper fouls readily.
If you have a quality-made barrel, Wipeout Accelerator and Foam will clean it up in a hurry after a match.