I don't like to assume anything but this time, I'm assuming that there is a good reason to even using steel wool on SS. I can't think of a time, I've ever had to do so. I do understand that SS barrels will show a non typical rust if left unprotected but has nothing to do with the use of steel wool. I use 0000 and 000 steel wood on blued barrels and parts and can't say that it promotes rust on those parts. ....
Don't see it or get it ???
Be Safe !!!!