I already have to do that, if you're on Firefox, you get treated like a bot and have to solve 10+ puzzles on recaptcha, possibly even just ending on a "network error" screen regardless.
If you enable the resist fingerprinting setting on Firefox every website will slam you with captchas and random errors.
I enable all that stuff and the number of ReCaptchas, while annoying is probably on like 30% of the sites I visit. And most of them I can live without.
I don't run with resist fingerprinting, the problem persists even if I am on a fresh firefox install with no addons and try to log into my google account.