While I don't have an argument towards protecting copyrighted material, such as complete works (either literary, musical or photographic), this law will also prohibit even quoting published works, which is a huge lart of debates here on the forums, as a debate often requires quoting specific information (again, quoting a portion, not copying and pasting entire works).
What the ultimate goal of the EU copyright law is, will be essentially to make users licensed in order to access content. And with that goal, backed by Article 11, a "snippet tax" will be levied on sites that even use a portion (or quote) of a copyrighted article, again, like exists everywhere on this site in the various threads. I should also mention that I have posted my own photos to this site (which have embedded copyright info in the files), but technically, under the proposed copyright law, members of this site would have to be licensed in order to view them.
Clearly, this would mean the end of smaller websites, as they cannot afford the required file scanning servers as well as the fees and taxes. Larger sites will be able to afford the nessecary hardware, but this additional cost will have to be passed on to end-users in order to stay solvent.
The issue goes far beyond what I've covered, but in the end, the goal is to literally turn the internet into a licensed revenue generator and that's not acceptable.