No, I am oversimplifying nothing. The definition of “organic” is any chemical compound made up of the elements carbon, hydrogen, and oxygen covalently bonded to each other to form molecules. By definition, MOST synthetically and biologically produced compounds ARE organic.
Many many people make the mistake of using the word “organic” to mean “natural”, i.e. produced without the use of pesticides and fertilizers that were made by processes occurring outside of a biological system. Since chemical bond formation is identical whether it takes place in a living organism or a laboratory flask, to me, the distinction is rather artificial. You’re much better off looking at the actual safety profile of the chemical in question, regardless of its “natural” or “unnatural” origin. The most toxic chemicals known to exist are produced by living organisms.
To turn around your contention that pointing out actual definitions is somehow the same as suggesting that people use organophosphates to flavor their chili, are YOU suggesting that people throw deadly nightshade berries in their fruit salad, and use powdered ricin instead of table salt? Those are, after all, natural products of biosynthesis.