Generally not automatically, and not for civil lawsuits or for all crimes, and in the US expungement from court records does not obligate any third party to falsify newspaper archives, etc.: https://ccresourcecenter.org/state-restoration-profiles/50-s...

A recent law review article on the prospects of this so-called "right" under US law is https://mttlr.org/2020/02/why-the-right-to-be-forgotten-wont..., citing https://supreme.justia.com/cases/federal/us/420/469/ ("It is unconstitutional under the First Amendment to criminalize releasing the name of a rape victim or to permit a private right of action against the press for doing so."), and https://law.justia.com/cases/federal/appellate-courts/ca9/12.... See also https://law.justia.com/cases/federal/appellate-courts/ca2/13....