If your flight shows a meal available for purchase, I think the cheeseburger option is there if it is an afternoon or evening flight which is longer then about 3 hours. I honestly don't know if that website considers the picnic packs as a meal "available for purchase," so that may be something to check. Maybe one of our knowledgeable AS flyers can confirm that.
I haven't had one of these burgers, but certainly everyone that has is very complimentary. It's good to hear that there is a tasty option on these flights.