What legal standards are you referring to? Newspapers and media are not held to additional obligations than what a normal person has – e.g. it's illegal for any

What legal standards are you referring to? Newspapers and media are not held to additional obligations than what a normal person has – e.g. it's illegal for anyone to commit slander, or violate obscenity laws. The fact that a publisher can be held liable for publishing illegal content is not what gives them the "right" to edit and censor their own publication.