Actually 🤓, the refining process for many fossil fuel products requires the use of inorganic chemicals AND are proven to be hazardous to human health meaning they can’t even fit the US “Organic” certification. (Though I suppose the oil industry has enough money to bribe lobby the regulators)

Now if you meant “organic” strictly as in “the final product is a purely hydrocarbon compound” then you’re correct, assuming you’ve entirely distilled out any metals or other inorganic compounds of course.