I highly doubt that. Rolling out this network is a lot of work and I'm nearly 100% certain this is to reduce claims of non-working devices caused by bad WiFi, plus maybe the option to sell network access on a wide range of devices.

Avoiding blocked network for TVs and other "smart" appliances is surely a nice benefit, but I doubt even 1% of people actually block network access (hell, most probably want it!). There's no way Amazon would pour that amount of effort into extracting that minuscule piece of tracking data.