For the central bank, it doesn't matter what the face value is relative to the scrap value. If they take back a coin, they get both the face currency value _and_ the scrap value - in contrast to all other participants in the system who can only get one of those out of the coin (assuming melting it down was legal).
When you return a cent coin to the central bank, you are simply depositing money in your account with the central bank - you give them one cent of cash, they give you one cent of account balance - and taking deposits does not somehow cost the bank the money that they take as a deposit. Now, the central bank is in the special position that it can create coins and bank notes, which is why they don't necessarily lose any money when they melt down the coin you gave them, as they can just mint a new one, presumably a cheaper one, and the amount of money they have won't change, except by the difference between the scrap value of the old coin and the cost of producing the new coin.