No, booking online doesn't show discounts. For most ADRs, you tell your server at the beginning of the meal (or at least when you ask for the check) that you have DVC or AP, etc., and show them the confirmation of eligibility on your phone. For ADRs that are paid at time of booking, you probably have to ask for the discount (and prove eligibility) at the time of your meal. For example, for Hoop Dee Doo Revue, we paid full price when we booked, then on the day of our ADR we went to the ticket window, showed our DVC/AP proof, and received a credit to our card.