As usual, the mainstream media gets it completely wrong.
Cyberspace is weird and obscure to many people. So let's translate all this a bit: Imagine the Kozinski's have a den in their house. In the den is a bunch of stuff deposited by anyone in the family -- pictures, books, videos, whatever. And imagine the den has a window, with a lock. But imagine finally the lock is badly installed, so anyone with 30 seconds of jiggling could open the window, climb into the den, and see what the judge keeps in his house. Now imagine finally some disgruntled litigant jiggers the lock, climbs into the window, and starts going through the family's stuff. He finds some stuff that he knows the local puritans won't like. He takes it, and then starts shopping it around to newspapers and the like: "Hey look," he says, "look at the sort of stuff the judge keeps in his house."
I take it anyone would agree that it would outrageous for someone to publish the stuff this disgruntled sort produced. Obviously, within limits: if there were illegal material (child porn, for example), we'd likely ignore the trespass and focus on the crime. But if it is not illegal material, we'd all, I take it, say that the outrage is the trespass, and the idea that anyone would be burdened to defend whatever someone found in one's house.
Because this is in many ways the essence of privacy. Not the right to commit a crime (though sometimes it has that effect). But the right not to have to defend yourself about stuff you keep private. If the trespasser found a Playboy on the table in the den, the proper response is not to publish an article reporting this fact, and then shift the burden to the home owner to defend the presence of the Playboy (a legal publication, harmless in the eyes of some, scandalous in the eyes of others). The proper response is to give the private party the benefit of privacy: which is, here at least, the right not to have to explain.