They must have changed that because when I booked (by ignorance and mistake) a package with them four years ago, I could use my card to get AAA discounts anywhere they took it at WDW.
And yes, the DC card give you exactly the same discounts as AAA, or should I say AAA give you exactly the same discounts as DC in onsite resorts, without paying $30 - $40 extra plus the road service.