Earlier quoted context omitted.
Your CAPTCHA accessibility leaves much to be desired. You require screen reader users to register an account to create a magic cookie that itself requires Safari users to disable security protections in their browser in order to use -- and then it doesn't actually work. Please do better. You're blocking off a non-trivial amount of the Internet to blind users. You will eventually be sued for this.
We actually spend quite a lot of time on this, and regularly work with blind users to test and improve these flows. Most vision-impaired users have no issue in our testing, and it is a much more accessible option than audio challenges, which discriminate against those with auditory processing impairments. (disclosure: work there.)
> If you are using the very latest version of Safari on either the recently released OS X 10.15 or iOS 13.4, Apple has just changed the behavior of Safari related to third-party cookies, blocking all of them by default. We are implementing a solution, but in the meantime please visit Safari Preferences, Privacy section, and uncheck "Website tracking: Prevent cross-site tracking" to enable the accessibility cookie to function as expected. [0]
[0]: https://www.hcaptcha.com/accessibility
So while you're patting yourself on the back for not "being like Google", your accessibility workaround exposes blind users to third party trackers like Google.