As hard as chrome is, it will swirl IF you use the wrong polishing cloth and abrasive. I am still old-school , but a CLEAN flannel cotton cloth (Like an old winter-type bed sheet) and Simi-Chrome work pretty good for me. The mistake is made using a DIRTY, previously used cloth with black residue and polishing it back over washed chrome, OR, trying to polish/clean dirty chrome without first washing it. If the chrome has dirt or other contaminants on it, wash it and, if needed, GENTILY clay it first (Chrome wheel rims with excessive brake dust are a good example). Trying to "excessively rub" it clean without pre-cleaning heavy contaminants is a recipe for swirls.
Also, the chromed plastics on newers car are more prone to swirling because of its chemical layering composition and thinness. How can you tell if it's plastic under the chrome? Try using a small, soft magnet from the back of a clip or ad card use to hold your kid's artwork on STEEL refrigerator doors. If it sticks, it's STEEL; If it doesn't, it's probably plastic.