Your argument essentially sets up certain websites as being "more public" than others as a
legal test for liability, in a way I can only assume would be based on Google index and search results (how Grandma finds it), which is wild to suggest.
How would that even work? You linked to something that Google didn't index, so you're liable for spreading private info, but another person who posted the same data, but whose reference site was indexed by Google, isn't liable?