You got me! I would never give up myself. I need the money to pay those loans...
However, it's not really me, it's my wife, and she doesn't like making these phone calls. I therefore need to tell her the exact wording to use on the phone call, as she'll probably only give it one more try before just making me pay.
She has no other Amex cards. The rep told her they can't pro-rate it, and the only option is for her to go through the application process for a new card, and transfer the balance or something, and then pro-rate it. Rep also said most cards don't qualify for this. Don't know if this is true.