We bought AP's before we bought DVC, and we didn't use them for any hotel discounts. We plan two trips accordingly, so we get two trips out of 1 ticket. Our trips are usually 7-10 days, so it works very well for us. Now that we bought DVC, we still have bought AP vouchers for our December trip. We will be there 8 days and then will go back for another 8 in October. As others have said, the freedom of an AP is so wonderful. We can go to DTD for the morning, spend the afternoon in the pool, then walk over to Epcot just for Illuminations. Or eat dinner at Chef Mickey's on our arrival night, and then take the monorail back and watch Illuminations on the way back to the hotel. We cannot do those things with park hoppers, it would be a waste of a day of our pass.
Erika