If you’re at that point of not trusting a company, the best practice would be to avoid using their devices or connecting them to your network.
There are plenty of other ways to track and identify users, a company could conceivably bake whatever the hell they want into the operating system and doesn’t need to rely on you creating an account with them to achieve that objective.
I used the term “unhealthy paranoia” due to the logical fallacy that is at play.
The Origin client only needs to be running in the background while you’re playing the game. This is how EA, Ubisoft, Rockstar, and a few others handle DRM - I’ll take it over shit like Denuvo any day.