What does it mean to have a "right to privacy?" We have a right to vote, and too few of us use it. I heard it explained to me once, a human right is like a vegetable garden. You have to nurture it, take care of it, and harvest it. Otherwise you have a plot of dirt.
The Internet is not like a vegetable garden. Perhaps that test is appropriate, then, for lawmakers worldwide considering whether the "right to Internet access" follows from the right to free speech -- there are places in the world where is this actively being considered. If a person is denied access to the Internet, the argument goes, her free speech rights are being violated, or at least abridged.
By that same logic, the extent to which one makes use of the Internet, must therefore abridge that person's own right to privacy. At least, by that same logic.