The answer depends on whether Amazon is a monopoly. If everybody else who sells goods on the internet also automates their warehouses and customers choose the retailer with the lowest prices, they have to pass the savings on to the customer or the customer will buy from Walmart or some other competitor.
But "monopolies raise the cost of living" is a separate problem the solution to which is to get rid of monopolies, not to get rid of automation.
Regardless of how this all plays out... there's gonna a whole lot of Abundance of Things, and Services. As producers/workers - it's gonna be an awkward time. As Consumers? Ho boy baby - shit's gonna get crazy cheap
Probably what's going to happen is everyone will get more productive as open source AI models become more accessible and cheaper to run yourself, tooling, robots etc, then it will kind of end up leveling off again. Amazon will become less relevant because many other companies will have factories that are automated too.
It would be nice if we end up in a society where it's so cheap to produce everything that we're all wealthy.
I actually think there are so so so many variables at place that no one can predict where this is going... I get a feeling it's going to be a surprise.