Kitchen utensils are not infrequent medical metaphors. When some people look at other people’s facies, they see dishes – the dishes used for dining.
From as early as the 1950s faces like dishes were already in the medical literature: “The nasomaxillary epithelial inlay for dish face deformity. Converse JM, Jeffreys FE. J Oral Surg (Chic), 1951 9(3):183-7.”
Here is more literature on dish-like faces.