I could imagine Amazon incentivizing reusable containers on their own TBH. If I was living in a house and not an apartment, I could easily imagine putting the Amazon bins back out so the next time I get a delivery, they take those, and we are constantly cycling bins back and forth.
Even environment aside, from a purely self-interested perspective, I would much prefer it to dealing with the recycling Amazon deliveries entail.
"Amazon bins" ... or maybe just reusable bins that aren't specific to a company? See: shipping containers. A standard bin for home delivery could still have "Amazon" painted on it but the rest of the infrastructure wouldn't be Amazon specific.
Amazon did that with an earlier version of their grocery delivery service. I assume the cost and logistics of managing and cleaning the bins just wasn’t worth it because their grocery service delivers in paper bags now.
One problem with the bins for normal items is that rarely will they be packed to the brim. I imagine the overall item density would drop significantly if they started using standardized bins instead of appropriately sized boxes for the items.