IMO one of the great confusions on the internet is people who call powder fouling carbon, and get involved in discussions about what many call hard carbon, which as far as I know no liquid can remove, although one that I know of can make it a easier to remove, with soaking. The carbon ring that I believe many are dealing with, is not just fresh powder fouling, from just a few shots, done just before cleaning.
Most are dealing with removing hard carbon, which is an entirely different and much more challenging problem.
One tip, you may have noticed how easy it is to remove powder fouling from the outsides of case necks shortly after firing, and how much more difficult it is to remove a week later. If you cannot do a thorough cleaning right after you finish shooting, I suggest that you wet the barrel with Kroil and leave it that way until you clean.