If they are following DMCA procedures and notifying the targets, they can (even if there would be actual copyright liability otherwise) restore without risk 10 days after getting and notifying the complainant about a counternotice, at which point the copyright claimant needs to sue the end user.

(Some hosts are lax about the end-user side of DMCA safe harbor process, because they have no user-side liability that they feel the need to avoid, and there's no other benefit to them, besides PR, for taking any action after a takedown.)