Although not quite the same thing, I've found that I've received new Amex cards much more quickly than from any other bank. Kudos to their shipping dept!
Most of the time it's so easy - they've even offered to ship cards for early morning delivery when I was getting a replacement or additional card.
Likewise, I was impressed when I found myself suddenly separated from my wallet in London. Called amex, visa (both Canada based, AmEx was a credit card in that case), and a local UK bank about debit / master card replacement one right after another. American express had a new card drop shipped from somewhere in England & I had it the next morning. Visa was couriered TATL and showed up a few days later, the local debit card trailed in a week or so after that. Something I remember whenever Amex annoys me for some reason!
Several years back, they delivered a replacement to me at my hotel in San Francisco by courier before the day was over.
I have to admit I work for the company. Years ago when we actually had plastic on site I've driven to cardmembers homes in PHX to deliver in an emergency.