I just got a new Vizio, I only connected it long enough for it download the latest firmware, and then neutered it by removing the Ethernet cable.
You can bypass the acceptance of the privacy policy entirely and it just disables all the smart features (can't use any of the apps or cast to it with Airplay or Google Cast), but will still download firmware updates and install them.
From the network capture I did on it, if you don't accept the policies it only reaches out to the update servers for the firmware, and that's it. Nothing else.