Yep, it absolutely will I expect. All the pieces are being or have been laid to build the new world where only a "trusted" device will be able to use the internet. Us nerds can still have our Linux, but it won't work with much of the internet because we won't be able to pass attestation.
Building to that future is exactly what I would expect from Apple, but Google doing so has surprised me. Google doing so is also the thing that will bring it to pass, so there's a special seed of hatred for them germinating in my heart right now. Hopefully I'm just being alarmist and paranoid, but I really don't think I am.
Some Refs:
Web Environment Integrity: https://en.wikipedia.org/wiki/Web_Environment_Integrity
Private Access Token: https://developer.apple.com/news/?id=huqjyh7k