Mastercard and Visa both offer the same zero liability protection on debit cards as credit cards. So both my cards are comparable to credit cards in that regard. If I was at a bank that didn't have good fraud protection I'd be shopping around.
I've never had a situation where fraud took money out of my account. Someone got my debit card information somehow (I'm surprised it doesn't happen more often). The bank called me, asked if that was me that was in London trying to buy something out of a vending machine, I said nope, they turned off the card and sent me a new one. No money ever left my account, and I wasn't terribly inconvenienced, other than having to change a few autopay thingies.
I do get cash back bonus on my PayPal debit card. I appreciate the irony of taking advantage of that in contrast with my original comment. But I presume since PayPal is not a credit card company, they're paying for it with the merchant fees they collect. I could be wrong.
¯\_(ツ)_/¯
All that said to say there's nothing a credit card can offer me that a debit card can't, except debt.
And you miss it by half a pixel and it opens the ad page instead.