I have a satin/matte stainless Python that had a scope on it. The scope attachment wore some real smooth,real bright, marks on both side of the frame right below the forcing cone area. They weren't that bad but the very shiny marks did not match the satin stainless finish. I used a tiny piece of the veryfine scotchbrite pad and a drop of oil and rubbed the areas (with the "grain"- parallel to the barrel length). Those overly shiney marks became very close to the satin finish.
I have a model 60 also and I think I would try the same thing on it if a small area got too shiney. If you use flitz or mother's mag it can make the stainless too shiny for the orginal matte finish.
I had a model 66 that was used pretty hard so I decided to clean it with some flitz. Trouble is the first area I cleaned was too shiny ,so I just kept going and turned the whole gun into a bright,shiny finish.