I’ve heard the TV’s will try to connect to any passwordless, public access point it can reach even without your approval.
While I've certainly heard plenty of theorizing about the possibility of this happening, I have yet to see any conclusive evidence that it has ever been done.
EDIT: What I am referring to here is the specific allegation that smart TVs will connect to open wireless networks without being commanded to do so. It's not a catch-all for any nefarious thing involving TVs or wireless networks.
You still run the risk of a software update doing a tv to tv mesh network. You gotta own the software or remove the radio.
How many open WiFi networks are there within range of your TV?
Many people have "heard" this and repeat it as fact. Not a single one has ever provided a single shred of, trivially testable, evidence.