They still mostly rely on the local infrastructure. Even going through gig economy based approaches won't set them apart from the other players doing the same.
Amazon is dominant, but not as much as we would tend to believe. It was forced to stop operations in France for a few weeks at the beginning of the pandemic, and demand just shifted around, service wasn't worse, delivery times weren't very different considering the situation. Comparing it to the effect of AWS shutting down, it was pretty unexpected.