Earlier quoted context omitted.
I had exactly the same issue. I am surprised how neither cloudflare nor google have been sued for making most of the web inaccessible to people with disabilities.
Shouldn't that liability be with the operators of websites that use those captchas if they're required to be blind-accessible? If they get sued, it'll apply pressure up the supply chain.
You can go the Google route and choose accessibility and security, do massive user tracking, and don't even show CAPTCHAs at all for normal users. HN users probably see a lot, because they use some anti-js or anti-tracking stuff, but normal users don't.
You can go the Cloudflare route, requiring users to solve visual challenges, sacrificing accessibility, but keeping security and privacy.
You can also implement audio CAPTCHAS, which are easy to solve for robots, get accessibility and privacy, but less security.