Which law would apply to someone that hasn't been served with a warrant and state that they haven't been served with a warrant? Until they are possibly served w

Which law would apply to someone that hasn't been served with a warrant and state that they haven't been served with a warrant? Until they are possibly served with a warrant, the publishing of such statements would be legal and protected under free speech (I guess, I'm not in the U.S.), and when served with a warrant, surely removing any statements about warrants would be a wise move to avoid prosecution for releasing information about it.