Many stainless steels will later rust if cleaned with "steel wool".
All stainless steels will corrode when cleaned with steel wool. The beauty of stainless steel is best maintained with a feldspar cleanser. Eastman Kodak always recommended Bon Ami brand of powdered cleanser. Never use Comet or any cleaner with chlorine.
Nikor and other (Arkay etc.) are 316 stainless steel. 300 series stainless is high in nickel, which helps when drawing the steel (like making a Nikor tank.)
400 series stainless is more common today, a magnet will stick. 400 series works fine for certain applications, very low in nickel, hard, used in cutlery.
A term 18-8 is used to refer to 18% Cr, 8% Ni. SS needs to maintain a protective layer of Chromium Oxide. To refresh and deep clean stainless, traditionally a final rinse with nitric acid was used to "passivate" stainless steel by restoring the Chrome Oxide. Citric acid is used more and more today for passivation.
You can pit a stainless sink by leaving a plastic container that traps water, and most importantly some iron particles, on the sink.
It's simple galvanic corrosion. Look up a table in a materials handbook ,galvanic series of metals.
Bottom line no steel wool, no chlorine, occasionally passivate with nitric or citric acid (never muriatic or HCL) , Zud or Bon Ami no additives old fashioned cleanser, and green Scotch Brite.