Wouldn't that seem to violate the idea of freedom of speech? What if someone running for public office requests that I "forget" and not share what I know about some bad things they did in the past?
If it can't be found by anyone, isn't that about the same as deleting it?
And perhaps I want to make a list of sources where you can search for information about politicians to hold them accountable. If it's not censorship for them to be able to stop me from linking to true things they don't want people to see about them, then what is?