Amazon tries to encourage this by using a "delivery day" for all your weekly deliveries to come. They need to incentivize it a bit harder I think with free digital content. If I could rent a movie from prime (not something new but let's say original Matrix) in exchange for using the prime delivery day option then I probably would. Otherwise they are relying on people to realize that constant deliveries are a problem and then sacrifice existing conveniences they have for that problem.
Maybe that's why they don't "fix" the Amazon Logistics service. Force you to get all deliveries when you are home and you might as well pick a time slot dor that.