NEVER use "steel wool" , Comet, Ajax or abrasives on automotive chrome.
"Copper wool" is for that(with lots of water), then polish. Steel wool puts scratchs there that won't come out. Steel wool/abrasives are for cleaning 'pots & pans' and household appliances which are chromed differently.
The steel is stronger than the plating in many cases. If it(the debris)gets into new paint & rusts the paint job is ruined too.
Good luck, John M.......
