Yes. AAA benefits are tied to the AAA CDP.
See:
http://www.aaa.com/AAA/common/travel...rBenefits.html
"To receive discounts and benefits, AAA Members must provide proof of membership at time of rental by presenting one of the following: valid AAA Membership card; Hertz AAA CDP ID card; AAA Visa or AAA MasterCard.
AAA Discount Code (CDP #) must appear on rental agreement to receive discounts and benefits."