Maybe. But their fraud detection is pretty good. I've seen some unauthorized charges before, and Amex has called me before I had any idea. I've also had unauthorized charges show up on a Citi card -- their customer support didn't care and refused to help me. I just paid the $60 (for some scam software, apparently) and canceled the card. So Citi may protect their numbers better, but Amex actually helps you when someone gets your number.
(I also had a Paypal debit card canceled for authorized charges. Needless to say, I just buy everything with the Amex. Good customer service, good interest rate, cash back.)
(I also had a Paypal debit card canceled for authorized charges. Needless to say, I just buy everything with the Amex. Good customer service, good interest rate, cash back.)