The person I finally got a few minutes ago after hitting on the right number-dialing combination to escape the automated robot that answers the phone at the number listed on my Dillards card said he was with "American Express Credit Services." Neither this AECS or LWP will say why my card wasn't reissued on April 6th when I called to report a stolen wallet, so I don't know if LWP simply failed to report it or AECS failed to reissue the card. (I suspect the former, since LWP first told me the Dillards card wasn't on the list of cards I had reported to be closed/replaced - but it appears on the notes I took 4/6/14 while on the phone with the LWP rep, and it's a card I carry daily so I'm sure I would have reported it.)

All I know is I'm going to wait another two weeks to finally get my replacement card - for a total of five full weeks since I called Amex to say someone had stolen my wallet. You'd think someone could at least have offered the opportunity to pay for expedited shipping since I mentioned repeatedly I needed the card right away.