Exactly. If you don't connect your smart TV to your home Wifi network, it can't connect to anything and exfiltrate your data. I doubt manufacturers are secretly putting LTE modems inside TVs.
This is not true. It connects to open wireless and updates your software and probably ads. There was a post on here a while ago about it which I can't find from a preliminary search.
Yes there is a reply that takes you a reddit comment [1]. However now it appears as though that commenter deleted their account so I don't know the validity.