Not to try to be deliberately offensive, but the issue truly is a pointless obsession for some.
In stainless, it's cosmetic only, and only in one specific area, not "all over the gun".
In a blued gun where the rings are not visible, giving any thought whatever to "can't see them but I know they are there" is even more pointless.
At that point, with a blued gun, where you can't even see the rings, where it's not even a cosmetic issue, why on earth would you care if there are rings present?
Those carbon rings will not hurt the gun.
Just get what'll come off during regular cleaning methods & forget the rest.
I know saying this won't get through to those who can't control the obsession, but the rings are really a nothing issue.
Built as objects of use, not art or jewelry, guns don't have to be polished regularly or kept to absolute factory-fresh pristine appearances.
That goes well beyond maintenance needs, and well beyond "I like to take good care of my guns".
If you do have the obsession, understand that that's what it is- an obsession.
Such levels of regular polishing and abrasion WILL remove material from the cylinder, WILL round off chamber exit holes, WILL remove bluing, if done excessively over long periods of time, and there is no benefit to the gun whatsoever.