I couldn't believe what you posted, so I did some research. I am glad I did because you appear to be 100% correct.Agreed #0000 steel wool will not scratch chrome but it will further impregnate carbon into stainless steel causing it to rust even worse. Actually a really great way to clean chrome is a ball of aluminum foil, any light oil and a little elbow grease.
You cannot use carbon steel anything on stainless steel w/o out risking it rusting