Lead away will remove carbon burns. But I hate it. It seems to polish a bit much for lack of a better term. I know you said ss, but carbon stains on a cylinder face are ok. Hoppes and a qtip or nylon brush work extremely well.
My 55 yrs cleaning firearms but your mileage may vary.
And I was in the Corps when we transitioned from bore cleaner and a lube to Clp only. Clp is worthless for cleaning a bore and carbon.
Semper fi!