These are the same politicians that brought us the law that forces every website to ask EU visitors permission to store cookies with a big fat modal dialog, so I don't think you need to worry that people who any understanding of how the internet works supported this law. Imagine all the time wasted on those modal dialogs and add up the total cost in human lives. I bet none of them have any clue that the functionality to block cookies is built right into your web browser.
The funny part is that they're doing this copyright law out of jealousy of Silicon valley and they don't realise that these types of regulations and attitudes are the very reason why Silicon valley is not located in the EU, and why the next Silicon valley won't be either, and that this law will make it harder for new companies to compete with Youtube and Facebook.