After going into a private browsing window, I got the $250 offer. I applied for both my wife and I, she got approve instantly; I got deferred. (Not sure why.) Both apps though said something like "If you are a current Amex holder, you might not get this bonus."
I figure that the card is worth net $225 a year ($6K supermarket max x 6%, less annual fee and Visa GC fees) so it's somewhat borderline allowing for the hassle factor of buying the GC's and unloading them, but the $250 bonus makes it definitely worthwhile the first year. The point is that even if we don't get that, it's not a disaster to have the card.