Does seem to be an awful lot of nonsense being reported.
It's not about revealing your search history, that's already collected and stored by search engines such as Google, who will provide it not just to law enforcement and government upon request, but also - I strongly suspect - to commercial organisations willing to pay for it.
It's not about revealing the IP addresses that visit illegal websites, that is already available by confiscating the servers and looking at the logs.
What it does seem to facilitate is, if you have an ISP that a allocates dynamic IPs, they will be able to resolve exactly who had the 'suspect' IP at the moment of interest. If you have a static IP, I really don't see it'll make much odds at all.