Except for when say, your utility company withdraws the wrong amount from your checking account (using your debit card), causing you to be overdrawn, and then you have no money for two weeks while they sort it out. Of course, there's an argument against auto pay somewhere in there...
Credit card you can just go on with your life.
Also, the Visa logo on your debit card applies all of the same benefits as the credit card in regards to risk management. The one time I had my card skimmed, I called the bank, the charges were reversed and they overnighted me a new card.