I don't see how the issues are linked. Do they simply stem from a common philosophy, or does a disbelief in information ownership somehow entail inability to punish for possession?
The way I see it, information possession and ownership are the same thing, and neither concept should be recognized by the law.
What does it mean to possess bits? Do they have to be on a physical media on my property? What if I have a network drive? Do they have to be on a server that I have access to? Does that mean that we're all in possession of everything that is made public on the Internet?
There are ways to answer these questions, but I'm not convinced that we have anything to gain from the government doing so.