There aren't really any other tools browsers can use for this right now. The process of logging in looks like basically: you type your password in google, google gives you back a cookie, your browser makes a request with that cookie and the server knows who it's for.
The TVs are actively gathering data by design and proven security breaches if they have a mic or camera. I’m not a tin foil hat person... I use Zoom, a credit card, and even a Safeway member number. But no way would I connect my TV to the internet. AppleTV is the firewall.