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Ketchup is just tomato gravy anyway. A sauce made by thickening a reduction of something high in glutamate with cornstarch. It’s more of a gravy than chip beef gravy, which is a more basic roux. Only difference is fat content, but that’s why it’s paired with mayo.
Personally I think of ketchup more like a puréed tomato chutney or relish, it’s the style I’d do if I made my own.
I’d say that’s a fruit preserve in that case, so a jam.
Corn is a fruit, whiskey is ketchup.