> If your CV is scraped, you could end up anywhere and now you're getting recruiter spam from all over when you're not interested.

I would point out that this is still possible (even probable!) without any bots being involved at all. Back before CVs were online, humans working for recruitment agencies would “scrape” information from local, physical job boards by hand into their company’s databases (where “database” here could just mean a filing cabinet.)

IMHO, the real solution to that is a spam filter (or an “agent”, in the old world.) Just because a lot of people want to talk to you, and most of them aren’t very interesting, doesn’t mean they need to be prevented from accessing you—they just need to be prioritized by interesting-ness, which is something you can do yourself, or hire a service to do for you.