As an Amazon Prime member, I sometimes use Prime Now to get deliveries made in two hours from a limited selection of products, and that requires a minimum order and a delivery surcharge. It's still a great option that I take advantage of. I have to imagine I would also take advantage of an even faster drone delivery option for some things: snacks when I haven't gone shopping and have people coming over (and I can't be bothered to go out to do proper shopping beforehand), the odd household item I need but don't feel like driving to pick up, etc.
The "not driving" part is the key for me personally. I don't really like risking life and limb to buy potato chips.