No.. You will pay the same price through CAA as you would through Disney directly. The only "extra" you may get is a $25 gift card from CAA.
We price our package every year at both and they are the same price.
If you include your flight with your CAA package you will end up paying more then if you book yourself. CAA will tack on $40-$80 per flight to cover their cost of booking it. Its simple to do yourself!
If you book through a travel agent you can not talk to Disney directly if you have problems or questions they have to be the middle man. That can be frustrating!!!
There actually are AAA/CAA discounted rooms available in limited quantities. Mouse Savers has all the details. You can book directly with Disney as well, you don't have to go through CAA. We booked POFQ once with the CAA discount when no other discounts were available, better than nothing anyways!