If you get the AAA discount on a package, your
room portion of the package is discounted. Dining and tickets are not discounted, though you can get them included in the package.
From
www.mousesavers.com:
AAA and CAA Resort Hotel Discounts
American Automobile Association (AAA) and Canadian Automobile Association (CAA) members qualify for "room only" discounts almost year-round, though there are a limited number of rooms available for each date. You can generally save about 10%-20% at the Disney resort hotels, depending on the season.
The only time AAA/CAA discounts don't usually apply is Holiday Season (around Christmas).
If you want a package, you have to book through an AAA office. They can add tickets and the
DDP to the discounted room. But you cannot book an AAA package through any other means including Disney direct or other travel agents.
The discounts vary depending on the hotel (deluxe, moderate, or value) and the season. Also, you cannot stack discounts, so the other adverised discounts like
free dining are separate and are not added to the AAA discount.