You are not free. "Your" computer is not actually yours. It doesn't do what you want.
> Most, if not all, anti-cheats will also not do anything when the game isn't open.
Stop believing this. For god's sake I just posted an example of a corporation that thought it was perfectly justified in hacking their customers and stealing their browser passwords. There is no line they wouldn't cross.
They could be doing literally anything and you know it. There's no way for you to know unless you reverse engineer the software, and if you try they are only too happy to label you a cheater and permaban your account or whatever it is that they do.
> I would be more worried about computing becoming more phone-centric where Apple and Google are in control of what you can and cannot do.
This is the exact same issue.
Apple, Google, Disney, Netflix, Hollywood, the games industry, the copyright industry, all the governments the world over are all battling for control over our machines.
This anticheating nonsense is just the tutorial boss.