We can believe as much of that as we want to. The truth is that statistical privacy on the Internet is pretty well gone already. It won't go away. We can counter by turning off cookies, using secure encryption, and making it difficult for government to install this stuff on private ISP's without first getting a court order. But in the long run, we have to learn to live with technology like this, and that means electing officials who don't want to use the power of government to increase their power over the rest of us, which may not be easy to do.
Eternal vigilance is the price of liberty.
It always has been.