Just broke in a new Lilja barrel (7 mm Weatherby) following my 'smith advice EXACTLY. The idea is to micro-fill the variances from absolute smoothness with copper. I was quite impressed that carbon was far greater a barrel's enemy than coppering it up.
Switched to Tipton jags, new stainless cleaning rods (Shooter's Choice -- look like tipton design to me), range box sloped cradle rather than Tipton gun vice, round patches only, etc.
The process involves -
1. dry patching out carbon from action to crown, once. (I used a nylon brush with a round patch over it.) A good bore guide is a must.
2. push bronze brush once, same direction. Watch the little cloud of carbon that goes with it! At a tilt/in a cradle with good slope, apply Butch's Bore Shine and make eight back-and-forth strokes, then re-soak and do it again, beginning and ending at the crown.
3. screw the brush off, remove the rod and let it sit while you do some other chore, shoot another gun at the range, etc.
4. using a next bore size down nickel-plated jag and a round patch, push the patch through from action to crown once, then dry patch.
You can do this for maybe up to eight shots, cleaning between each, until the last dry patch seems to all of a sudden "get real easy". Oil and put up if done, other wise fire your groups and re-clean, always pushing carbon away first before going home or doing the cleaning at the range.
All I can say is it has worked a treat for me, even when applied to guns I have used for years.
Cheers!
Barry