Cloudflare’s scheme with PATs is essentially a form of attestation, which, realistically, will only be implemented by Microsoft, Apple and Google, and if you’re a Linux or BSD user which isn’t integrated with a device manufacturer, you’d just have no other choice.
This is an unpopular opinion, but Recaptcha has never had this problem. I might face a few more captcha image screens to solve, but what’s being proposed with PATs is dangerous.