This summary is not the rule. The rule text controls.
When a court sends your case to alternative dispute resolution, like mediation or arbitration, the court doesn't give up control over your case. The judge stays in charge the whole time this process is happening.
This means if something isn't working right, the court can step in and stop the alternative dispute resolution process. But the court can't just do this whenever it feels like it. Someone has to show a good reason why the process should end, and the court has to hold a hearing to look at that reason before making a decision.
So if you're going through mediation or arbitration because a judge ordered it, know that the judge is still watching over your case. If there's a real problem with the process, you or the other side can ask the court to stop it, but you'll need to explain why and get a chance to make your case at a hearing.