Any site or service will take down the files if they contain copyrighted material and are informed that it is being distributed without authorization. They don't do this to be nice, it's a legal requirement, and the hosting service can get fined or sued to the tune of millions if they refuse to kill the links.
Simple reason: the user who uploads them is committing a crime and if the host allows it to be distributed from their servers after being informed the material is being distributed without legal authorization, they then become legally responsible for the financial loss incurred by the copyright owner. Simple download like this can cost the host a few hundred thousand dollars, and good luck getting reimbursed by the deadbeat client who uploaded it in the first place.
Technically sites hosted on servers outside the US don't have to comply, but most do anyway, as the copyright owner can force the issue and ultimately have the host blocked or blacklisted, and can still seek compensation from both the host and the file uploader.