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I'm one of those people. Absolutely can't stand it
isn't it more that silicone absorbs lipids and soaps? so you are tasting the dishwasher or last meal. I bake silicone cookware in the oven on broil, as it removes absorbed food. Fair warning, this is a terrible idea if the cookware isn't 100% silicone.
Lots of things can also absorb dishwasher detergents which is probably not great for your health. But for non porous things dishwashers are great !