After reading the
defendant's brief, it sounds like if the defendants win their cases will be remanded to lower courts for a hearing. If the lower court rules that violation of the treaty led to the defendants being convicted, then they would be freed. Oftentimes, these convictions relied on confessions that defendants can argue they wouldn't have made if they had spoken to a consular rep.
Whether the defendants get deported I assume depends on whether they were in the country legally: some were, some weren't. If they win, I doubt they can be retried without independent evidence, either here or in their home countries.