Copper fouling was my first gut reaction. Barrels are unique, and there doesn't seem to be any rhyme or reason to them. My most recent Mullerworks barrel copper fouled bad for some reason, breaking it in side by side with a Kreiger that picked up almost no copper and barely had any blue on the patches. Both overbore chambers shooting Berger bullets on the same schedule. The Mullerworks shot smaller out of the gate though even with the copper there.
FWIW I clean my suppressed barrels with VFG pellets, kroil, and JB paste, but haven't had carbon ring issues. Some of them go 100+ rounds without cleaning, one 6.5CM with several hundred with no problems. I guess I've never seen a carbon ring in person apparently, or if they're there then they come out with normal cleaning?