These guys send out hundreds of thousands or millions of takedown requests each year. This is why everything is automated, because it would take an army to vet all of the claims.
Legally this make perfect sense to Google, as there are two options:
1. Take down everything requested. Creators get mad but they are a dime a dozen.
2. Don't take down everything because some of it isn't technically a violation. Get sued constantly by the media cartels. Get brought before Congress for "stealing from artists". etc...
One party in the dispute is rich and politically powerful, the other is not. There's really only one choice a large company like Google is going to make.