They did that with Amazon Fresh, and (at least from my perspective of several years ago) I think the asymmetry between # of packages and frequency of delivery didn't work out for them that well. We'd end up holding onto a stack of 4-5 crates for a week or so, which means Amazon would have to float probably a ton of these across their customers. That's all a guess though, but these days we get deliveries in plastic/paper bags, no reusable containers, so something must not have worked out.
That said, grocery delivery is much more "bursty" than package delivery.
That said, grocery delivery is much more "bursty" than package delivery.