As per IUPAC Nomenclature of Inorganic Chemistry, the correct name of the edta chelate is $$\text{2,2′,2″,2′″-(ethane-1,2-diyldinitrilo-} κ^2 \text{N)tetraacetato-}κ^4O $$ As far as I know, edta coordinates through Nitrogen and Oxygen atoms, and there is no metal-carbon bond.
On the other hand...