You want Google to not know about you. You want to be a stranger to them. And you are complaining that they don't trust stranger, which you want to be, as much as someone they know?
This has already happened with tor and Cloudflare, but at least that changed for the better recently (see https://www.zdnet.com/article/cloudflare-ends-captcha-challe...). In that case it was just one CDN using captchas to discriminate against a group of users, so that one change by the CDN could fix the issue. If too many random sites are independently blocking or slowing down anyone not logged into Google, then that'll turn the web into Google's web.