I'll ask again. How is a copyrighted work "information" along the lines of grammar or mathematics?
How is it not information, it is encoded in bits just as computers record grammar of mathematics; yet you can claim rights over one order of bits though not another? Where is the consistency? It just like those who tried to claim copyrights over segments of the human genome, how can you own rights to a dna sequence? Be it the ordering of bits or the ordering of dna, to claim ownership is utterly absurd. They are the same bits, regardless of ordering, bits that everyone has a right to, and to claim that I, and only I, can order my bits in this manner, and no body else can is nonsense. Then take this a step further, no copy is perfect, a few bits will always be changed in the copying process do to a small amount of randomness in computational and data storage devices...thus the copied set of bits is a DIFFERENT ordering than the previous ordering...yet some still claim rights? Even though it is a DIFFERENT ordering than the one they invented? Where is the reason to that? Where does the nonsense stop? I'll tell you, it only stops when people stop claiming exclusive rights to organize 1's and 0's and recognize that we all have the right to do as we wish with our bits.
On the more abstract level of information in general, rather than bits and their ordering in particular, information that enters the public arena automatically becomes informatoin from an academic perspective (which I believe is the distinction you're trying to make), surely modern music and movies could be relevant to a student or researcher of behavioural science, sociology, psychology, or anthropology...should their research and these fields be inhibited and restricted because of those who wish to deny the free flow of information in order that they may profit off of it? And this is to say nothing of the artistic disciplines which are only protected in part.
This is not a binary situation between the Evil Government/RIAA/Corporations and the Freedom-loving Liberators of Art.
Easy for you to say, you haven't made a religion out of it
All Hail The Great Penguin God Tux!!!