A stainless steel Chore Boy shouldn't hurt it, unless you get really crazy on it. I've used one of those coarse Scotch pads on nickel without any apparent problem, too.
My experience has been, for the most part, that the highly-polished plated parts don't really dull down, and the satin or matte finish areas usually only need burnt-on organics cleaned off.
I guess I'm saying if a highly-polished plated finish is compromised enough to look dull, its restoration is probably not within the scope of manual cleaning and polishing.
Maybe post some photos after it comes out of the lye, but before proceeding further.