It takes months if not years for a case to be appealed to the supeme court. They don’t even accept most cases.
Any court federal can issue an order on this if a case is brought. Courts cannot do anything unless asked. That’s kind of how the legal process works. Someone, or some AG will file a suit. Might take a few days or weeks.
Every study uses sampling. They don’t have the resources to check everything. I have to imagine it took a lot of work to verify conclusively whether something was or was not generated. It’s a much larger sample size than a lot of studies.