Sharing links is not a crime, if is crime why shouldn't Google be closed to provide access to pirated websites, fake news, malware websites? Yes, they can be removed upon request to remove link from Google Search.
But should be Google penalyzed for that? Why? They aren't doing nothing illegal than only sharing links and results...
Is not easy to arrest someone because he has shared a link, in Europe. In USA/UK is not hard, but in Europe is a kinda difficult, and you will accuse he for what? Tell me? For sharing a link? He can claim, that he didn't make any upload or hosted that content.
You will accuse him for what? Is difficult, you need good proofs to do that, there is money involved in such activities? No. Did he upload that content? No.
These things can help him to defense in legal battles. Like I said, you can't say he is responsible for sharing a link. The website isn't owned from him. So why he should be accused for that?
If you have website that just are links and redirects, not host and you don't earn money is not easy to accuse someone of "host" DMCA Content, because is only links there.