I doubt they can. Once they learn about something infringing, they have to remove the link “expeditiously”. A proper DMCA notification is not even strictly necessary. Even so, the DMCA specifies what information a proper notification should contain. An email address is sufficient ID. ->DMCA
Look at it from the perspective of the copyright industry. They want to be able to take down infringing material as quickly and easily as possible. If some small players get caught in the cross-fire, that doesn’t matter. In fact, it is still competition that was removed. The “official” outlets are safe. Everything else can go.
And it’s not like Google would make any friends by lawyering this. If Google made this a little bit hard for the copyright industry, you’d get complaints about how they are ripping off those poor, starving artists. Everybody’s darlings, like Taylor Swift, would make noise. Lemmy would be up in arms against the evil corporation.
Look at this thread. Crickets. Look at the threads on AI. What people here want is more takedowns*, more restrictive copyright. And people here are apparently the left-wing, traditionally opposed to that sort of thing. I always get gloomy when this comes up.