What would happen if there was excess EDTA in DNA extraction?

During DNA extraction, EDTA binds divalent cations that would otherwise degrade DNA by acting as cofactors to nucleases, while destabilizing the membrane by binding ions such as magnesium and calcium. What would be the result of increasing EDTA concentration? Binding of essential ions by EDTA, such as sodium, that bind to the backbone of DNA in order to stabilize the strands, thus destabilizing it?