If you love games that much, why not get a dedicated gaming device? One that you use purely for gaming and don't expose your non-gaming accounts or info on. There's no reason why the entertainment device and the personal communication device need to be the same one, right? Just like there is no reason why you should log in with your old hotmail account on your Xbox just because they are both MS.

Ideally it wouldn't even have an enabled web browser.

If you find yourself unable to do this, that's a sign that "love" is actually addiction which means the upside for actually decoupling is probably a lot bigger than you imagine if you disregard the idea.

>I love games. Is there no way to safely block their network calls?

Use a VPN?