wrong. captcha blocks bots and humans alike. so why bother with the fake puzzle at all? just replace whatever triggers your captcha with a straight up block. or else please consider a responsible alternative.
of course it does. so does an automatic ban. that's precisely not the issue.
i think you probably meant to say recaptcha allows an extraordinarily large number of humans compared to false positives? because that would be the relevant metric. you sure about that one?