I've yet to see copper fouling as good for accuracy. But then, I don't load develop with a bunch of copper in my barrel. For me, I can clearly see when I'm copper fouled-out, as shooting results take a step change.
My initial break-in, to knock out high spots/constrictions in the bore responsible for collecting/building early copper, is 10shts of Tubb's FinalFinish. Then I don't ever let copper collect in bores, as I fully clean them after every use. This, even though I could technically go hundreds of rounds before copper fouling-out, because my bullets are all tungsten coated.
I just don't like copper building at all.
Even more of a concern to me is carbon buildup. Copper is an annoyance, but carbon is THE barrel killer. By the time you're trying to figure how how to refurbish a bore, that has taken a step change in performance and showing more copper buildup(where OP seems to be), you got a tough problem on your hands. 'Fixing' this can forever kill your bore.
For analogy consider the common end of a bore that was subjected to moly coated shooting. The moly builds up a bit down the bore, constricting the bore there eventually to hurt accuracy. Now removal of that moly constriction involves abrasive work(a lot of work) that is as likely to ruin the bore. It's less effort to replace that barrel..
Carbon is very similar. It impinges into the surface of the bore, and building on top of itself, eventually constricting the bore. Like moly it cannot be chemically removed. Normal cleaning only wipes away the loose carbon leaving the evil bad stuff. This has to be abraded away with routine/light use of something like IOSSO cleaner or J-B bore cleaner(not polishes, don't ever use polish).
You gotta look to the future & stay on top of it.
Problem carbon is impinged where the bore surface is hottest, in/near the throat for a few inches.
So a barrel that anyone would agree as 'shot out' & again leaving copper, can be reborn by setback(moving chamber forward). But if you had to do this there is still carbon impinged forward of the new chamber, and your reborn barrel will not shoot well as long as it did originally. Time for another setback, or barrel replacement.
This is not re-breaking-in a barrel. I can't imagine how a bore would need further breaking in after initial. I do however dress up lands every few hundred rounds with a shooting of a few Tubb's TMS bullets.
Before pitching a barrel, and given that you've got nothing to lose, try Tubb's FF. You never know, it might work, and the firelapping finish it leaves is apparently similar to the lapped finish in the best aftermarket barrels. I say this because it has not hurt/affected fouling from my aftermarket barrels(which clean up super easy).
I've pretty much decided to try melonite treating of future barrels. I think this will change barrel life and cleaning for it.