Others have already pointed out that your assumption of Apple TV not spying on you is wrong, I’d like to make a meta-comment on that.

Apple regards privacy as a feature, and I mean that precisely: some places they implement it, other places they decide it’s not worth it, and they only ever tell you about the former. A good example is iMessage: everybody in tech knows it’s E2EE, many fewer realize that the other three copies of your iMessage data on Apple’s servers are just, uh, not encrypted.

You can’t have the same intuition for Apple and privacy that you would for a group like Signal. You need to instead ask yourself whether you fully understand what you need, then whether Apple has guaranteed precisely and fully that, without weasel words.