There was another thread with a paywalled article, but here's the actual study that found that smart TVs use "automatic content recognition" to build an ad profile for you based on what's on your screen... including HDMI content streamed from a laptop, game console, etc. Yikes.
At a high level, ACR works by periodically
capturing the content displayed on a TV’s screen and matching
it against a content library to detect the content being viewed on
the TV. It is essentially a Shazam-like technology for audio/video
content on the smart TV [38]. ACR is implemented by all major smart TV manufacturers, including Samsung [9] and LG [55 ].
Our findings indicate that (1) ACR operates even
when it is used as a “dumb” display via HDMI; (2) opt-out mecha-
nisms stop ACR traffic; (3) ACR works differently in the UK as com-
pared to the US.
So it seems like you're opted-in by default, but you can stop ACR traffic by simply configuring six different options on Samsung, or eleven different options on LG.
Oh, and this doesn't seem to happen when you're using native streaming apps like Netflix or Disney+, because hey, they wouldn't want to infringe on those companies' rights by spying on them, right?
AFAICT, keeping the TV offline (i.e. not connected to any wifi) and plugging in a laptop/Chromecast/etc. via HDMI would eliminate both sides of the problem. You can still use streaming services on the laptop, but the TV would be unable to phone home.
There's always the yar har option as well, which is also effectively implemented with a laptop.