Who cares about local storage? You could have just made up whatever you're claiming to have saved.
The reason you believe that you're reading something on news.ycombinator.com right now is not the path by which the bytes were copied from one interface to the next before getting to you, but the certificate and signature that confirms you have a valid HTTPS connection.
But what does care about local storage in this brave new gaslit world is my own sanity, for one.