Expect corporations to be lazy. Just look at how every website handles cookies now. They could do it smartly, limit their cookie exposure, or only send the messages to IPs in the EU. But they just put an "accept all cookies or get out" OK box on your screen. And that's what they're going to do once attestation gets popular.
Sites will just require an attestation token and likely only accept ones from Safari and Chromium browsers since those are the ones pushing it. That will effectively make Firefox, Opera and other browsers incompatible with those websites. And once it catches on or becomes law somewhere, it'll be the entire internet. It's an extremely anticompetitive measure and it's internet-wide DRM. Fuck. that.