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my mother has a flat top as well. After the first year it had all the same exact problems as coils. No way to get in between temps.
Unfortunately where I live now has the old coil type. So you figure out the temperament of each individual burner and learn how to wing it. But I love to cook and can do it well. And I have had gas stoves in several places I have lived. There is no comparison. None. Being able to fine tune your heat is almost as important as being able to fine tune your salt.