Visual captchas too can be quite very hard these days for the same reasons, there are many other ways to verify bot or human, many of them may not allow you to remain anonymous while doing so, pretty much any 2FA method could work for example.
I would say given the choice for a number of people the accessibility is more important than loss of privacy. At least it is choice they should have instead of shutting them off the internet.
Hi HCaptcha-er here. You don't lose all your privacy with our accessibility option. Also we always abide by DNT style protections even for accessibility. That being said our privacy pass solution is totally private and safe.
I would say given the choice for a number of people the accessibility is more important than loss of privacy. At least it is choice they should have instead of shutting them off the internet.