According to the Times-Picayune, the state Supreme Court has declined to hear Jimmy Fahrenholtz's appeal.
I don't know whether Fahrenholtz is planning to pursue his case in federal court, which is where it really should have been anyway. It's an interesting case that should have had a better resolution. If his case does ultimately fail, it will probably be because of mistakes that were made in the handling of this specific case. Constitutional law was heavily on Fahrenholtz's side.