Requiring the publication to make the change is more feasible. In a hypothetical defamation situation the courts in the US have made this costly to do. In a conviction scenario Google search results can prevent people from being employed. I had a relative of a friend which had a published DUI which made it difficult for him to seek employment years after the issue. Employers have the ability to find criminal convictions and decide whether or not to hire an individual. Almost everyone googles people prior to contact.