The problem is that where you draw the lines around liability at that point?

If I'm running a hosting company should I be liable if someone posts content in violation of copyright? Even if I'm trying to run an honest business and take appropriate steps to remedy the situation?

If I'm anti-google should I be able to host copyrighted material on their cloud, hoping that they get sued over it?

Eliminating safe harbors seems like a nasty can of worms to open. Especially considering how massively abused any other system (contentid) is.