GTC4 Lusso exhaust pipe cleaning?

One of the items I used on my F430 and now my 458 is P21S Polishing Soap. I have used this on both polished and "cast" components and it cleaned them up nicely. It is not super aggressive so don't expect deep carbon build-up to simply vanish (not saying you have this put I want to make sure that I set expectations appropriately). I also used this on the 430 muffler prior to polishing the stainless steel.

 

I use 0000 steel wool.