The separate rooms prevents you from walking out. The skilled mediator will manage that circumstance so that you can't leave because it will seem very awkward.
I get you are doing what the Court asks, but the Court could actually ask again, so can the other party, and so can you. This session does not slam the door on future requirements for mediation; the Judges favorite trick to kick you both out of the Courtroom when it's about 40 years of wrong-doing.
Mediation is a massive drain on resources, and an incredible distraction in the process when preparation for trial would be much less expensive. I could do your divorce on the back of a napkin because it's just dividing by 2. What's there to mediate?
A two-hour deposition would cost you the same, get the wifey on record, and serve you far better than shuttle diplomacy in mediation. When mediation fails, and you are headed to trial, that same deposition will cost you twice the fees because of the added complexity of failed negotiations.
Have you read the posts in our Reference forum about mediation? Read the one by DefaultUser, he's around and would be happy to answer any questions you might have specific to your circumstances.
Volenti non fit injuria