Good for you!
The question is, what would YOU do if AMEX refused to credit you for a fraudulent charge?
There are plenty of pussies out there who would accept their decision to deny a valid claim and pay the phony charge because you think having their card bestows some great status on yourself. Me, I couldn't care less about what fools like you consider looks impressive to anyone. I refused to pay the $220 charge they claimed I was responsible for, so THEY had to pay it to the merchant when I cancelled the account. That's what smart businessmen who have multiple options do! And AMEX lost hundreds of thousands of dollars in the purchases that I gave to Visa instead over the last decade. Meanwhile, AMEX has been soliciting me with new offers to come back to them through all that time by both mail, email, and by phone.
But since you obviously need to thump your chest with pride because you have an AMEX, give yourself a hand!