Jerry,
I confess. I've been around Nev Madden ever since he started making barrels, and long before that.
However, the process, as I apply it these days doesn't involve shooting hundreds of rounds, or even tens. Just last weekend, I took a brand new barrel to the range, fired one shot & saw that dreadful black soot with coppery-bronze liberally thru the lands & grooves. I gave it a hit with a good metal solvent, followed by old faithful Subaru upper engine, patched out & let off the second shot, which gave no evidence of metal fouling & laid a nice grey soot at the muzzle. I cleaned out just with the Subaru this time & fired three shots to confirm that she was shooting clean - and that was it.
Happens it was one of Nev's barrels & John Giles is a fair to middling gunsmith - heck, he can shoot OK occasionally when the mood takes him - but that was the quickest walk in I've ever done on a barrel. Usually, I would expect to fire around 5 individual shots before the throat settled down.
John