An overwhelming majority of what we eat is made from plants and animals. This means that composition of our almost entire food is chemicals from the realm of organic chemistry (carbon-based large molecules). Water and salt are two prominent examples of non-organic foodstuffs - which come from the realm of inorganic chemistry. Beside some medicines is there any more non-organic foods? Can we eat rocks, salts, metals, oxides… and I just don’t know that?
What do you mean would not be stable…? They are more stable than then hydrogenated versions. PTFE is essentially only C and F in endless chain of [CF2].