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We prove that through the eyes of equivariant weak equivalences the genuinesymmetric monoidal $G$-categories of Guillou and May [Algebr. Geom. Topol. 17(2017), no. 6, 3259-3339; arXiv:1809.03017] are equivalent to just ordinarysymmetric monoidal categories with $G$-action. Along the way, we give anoperadic model of global infinite loop spaces and provide an equivalencebetween the equivariant category theory of genuine symmetric monoidal$G$-categories and the $G$-parsummable categories studied by Schwede [J. Topol.15 (2022), no. 3, 1325-1454; arXiv:1912.08872] and the author [New York J.Math. 29 (2023), 635-686; arXiv:2009.07004].

Genuine vs. na\"ive symmetric monoidal G-categories