I would read the fine print for the Priceline deal. I doubt “all fees” includes parking but just the standard fees everyone pays like resort fees.
Not every guest pays for parking, just the ones bringing a car. I would think that’s a special fee not included in the regular hotel rate, and then the hotel adds it as a room charge when you check in. Priceline doesn’t want to manage the add ons. They just give you the room.