One thing I'd be sure to check on before ordering is whether or not their 'regular menu' wieners are GF or if they substitute one of DL's 'allergy free' wieners. I've never eaten at AW, but I had the GF dog at Coke Corner once and it was the nastiest wiener I've ever eaten. It was salty yet tasteless and had a nasty rubbery texture. I thew it away after 2 bites.
BTW, here's this link for you.
http://www.disboards.com/threads/gluten-free-dining-at-the-disneyland-resort-a-superthread.3003289/
I advise starting at the end and working backwards so you get the most current info first. Eating GF at DL is easy and delicious. I was dx'd in 2004 and have never been glutened at either DL or WDW.
And if you do eat at AW, be sure to post your experience. It's a place I'd like to try but have never gotten around to it.