Bruening and Al Khalaf (2020) deny the possibility of coordination of unlike categories. They use three mechanisms to reanalyze such coordination as involving same categories: conjunction reduction, supercategories, and empty heads. We show that their attempt leaves many cases of unlike category coordination unaccounted for and we point out various methodological, technical, and empirical problems with their proposal. We conclude that the so-called Law of the Coordination of Likes is a myth. Instead, all conjuncts must satisfy any external restrictions on the syntactic position they occupy. Such restrictions may be rigid, resulting in categorial sameness, but when they are underspecified or disjunctive, category “mismatches” may arise.