Personally I think you should award this to the Chairman Card. As I mentioned, it is much easier to get to a human (no phone tree), and the reps can definitely perform a wider range of tasks as I noted. On these two points alone I think the service wins (plus the less objective experiences of shorter hold times and friendliness.)

Actually, I'd award it just on the one simple fact that the Chairman reps can do a card replacement directly. Amex has to transfer you to card replacement, who you might have to wait on hold for, and then you get ANOTHER possible hold to get to card replacement special services if you need an international replacement. You CAN call card replacement directly or get to it through the menu, but there is no direct route to card replacement special services other than being transferred. (I asked both a regular CSR if they could send me directly there knowing card replacement would have to re-transfer me, as well as asking card replacement special services for a direct number, and was denied in both cases.) I have done approximately 5 international replacements with Amex and the total call times ranged from 10 to 40 minutes, averaging around 15 - 20. I have done only one international replacement on my Chairman Card but the total call time was about 3 minutes. They replaced both my Chairman Card and Priority Pass from that one call, so you do get both done at the same time.

Oh, and thank you very much for putting this all together. Forgot to mention that previously.