Well you could not connect it to the internet…

Not anymore with sidewalk and other similar corporate networks bypassing any requirement for the consumer to connect the TV to wifi

aboutamazon.com/…/everything-you-need-to-know-abo…

How much of my internet bandwidth does Amazon Sidewalk require?

Very little. Sidewalk’s connectivity is distinct from your home Wi-Fi. If you choose, however, to enable Sidewalk on your eligible Bridge devices, those devices would use a small amount of internet bandwidth.

This sounds like it still needs your internet to work unless I’m missing something.

If you don’t have a sidewalk bridge but your neighbour half a mile has one, your device will connect to your neighbour’s bridge and send data to Amazon without you knowing