[londons_explore]

In your country, maybe.

But in most places, that isn't the case. If there is something illegal on your server, you're going to be held responsible for it, especially if you don't have robust evidence of who else put it there (ie. a verified and accurate name and address of the uploader - something that illegal video uploaders rarely leave behind).

[viraptor]

Even in the US, I would assume there's some practical threshold where you can't hide behind DMCA and say "I wasn't aware 100% of movies I store are copyrighted and I've acted on all requests so far".