With a credit card, if the card is compromised, its not my money being stolen - its the card issuer's money from my line of credit, and they were planning on settling up with me when my monthly statement closes. I still have to launch a fraud case with the issuer, but critically, _all of my money is still in my bank account_ and I can continue to pay my other bills and obligations as normal.
I think its reasonable to consider giving up that buffer to be additional risk for the debit card approach, setting aside any other advantages or disadvantages between the two.