Not to worry. The Bore Cleaner abrasive is softer than steel. I tested on a knife blade which had scratches. The cleaner didn't touch them.
Also tested Dillon Rapid Shine and TurtleWax medium rubbing liquid on brass.
Dillon was very slow. Turtlewax a bit faster. (I'm going to add that to my tumbling media when needed.) Mother's was faster than that.
The Remington Bore Cleaner was the fastest at cleaning the brass and rewetting the patch refreshed the polishing capability. So that's my chosen spinning cleaner.