Nope, no need for it. I like the nice, original surfaces on both. All these got was an acetone rinse before putting them into Airtites.
They are your coins and you are the "man." Oh, I thought Verdi-Care would not harm an original surface. Reason for my suggestion is that one coin has the typical "haze" found on copper that dulls the luster and at some point may react in an unsatisfactory way. I also thought Verdi-Care may help the unattractive carbon spots on one coin.