We've booked with CAA room discount till WDW comes out with a discount, which always beats CAA/AAA.
If I go thru a TA, it is a WDW Authorized Travel Planner. The reason is that they know Disney Booking. And they know when WDW comes out with discounts, and will automatically adjust your reservation. They do all the work. They'll also make your ADRs if you want.
Many AAA agents don't track WDW discounts, so it would be up to you to do, then phone them and request the change. I don't see the point, booking with AAA, since it's you having to do the work. Just saying...