You will note that I did not request reimbusement, nor indeed did I expect it, but once the AAgent proactively offered it, I don't think it's unreasonable for that to be honored. No need to invoke reductio ad absurdum; reimbursement of a reasonable hotel expense was offered, not $15K.
While you may be confident that he did not have the authority to offer this, my interpretation is different. He was very explicit on the $250 limit, which leads me to believe that this was, indeed, authorized at some level, just not properly documented in my case. Nonetheless, had CR come back and said the AAgent was not authorized to make the offer and would be retrained, I would have accepted that, but that's not what CR said.