Why are you sweeping those coins? The paper wallets are still your most secure method to store those coins. After the last firmware upgrade and the Man-in-the-middle attacks on the Ledger, I am hesitant to move coins from cold storage to my hardware wallets. The idea behind paper wallets is to store coins for long-term and if you not going to use those coins, why then move it to a hardware wallet?

Remember : Those paper wallets might still have forked coins. Do not throw them away.