how is it not also your money when using a credit card? It's in the name, "credit" card. you have to pay it off, no? (i have never ever used a credit card)
As I understand it, debit cards do have some fraud protection too, but even if it's the same (I don't think it is), it's a way different power dynamic if you're begging for a bank to give you money back (debit card) vs just disputing your credit card bill.
In practice credit cards just have way better fraud protections.
It comes with fraud protection and your money does not move anywhere until the end of the next month. With a debit card your money moves immediately.
You are making a purchase ON credit, and unless you are wildly negligent the merchant who accepts payment for the fraudulent purchase eats the costs. You may have to pay the balance owed while the chargeback works through the system but you will not ultimately pay for it.
Plus - like it or not - our society builds your credit based on your use of a credit card. And if you pay your balance in full every month I'm not sure why anyone would prefer paying up front (debit) vs. free financing.