Gun carry (or more specific open or concealed carry) is the more popular phrase, due to the popularity of EDC (every day carry) as a phrase covering everything

Gun carry (or more specific open or concealed carry) is the more popular phrase, due to the popularity of EDC (every day carry) as a phrase covering everything from guns to knives to keychains; however, "wear" is not a linguistic mistake, but an alternative to "carry". "Wear" differentiates from things that you carry in your hands or pockets or a bag. Things that are part of your dress, like watches, ties, and handguns in holsters, are more "worn" than "carried", though it could be either.