Aliquantic wrote:I misread "mediation" as "meditation" until the last paragraph, and that painted a pretty different picture

I'd laugh but that's a depressingly common mistake.
Even though you probably don't care, there's a HUGE difference between Mediators and Arbitrators. Arbitrators are Rent-a-Judges. All TV Court Judges are actually performing televised arbitrations. The advantage is you don't have to wait months or years to get on the court docket. The disadvantage is you usually forfeit your right to appeal the decision, and is this arbitrator
truly neutral?
Mediators are negotiation enhancers. Normally when people negotiate, they come in with different solutions already in mind and bounce progressively closer offers back and forth like a frustrating emotionally draining tennis match until they meet at a number halfway between their initial offers. It's slow because it rewards stubbornness, the stress and aggravation ruins working relationships between the parties, and the resulting solution has nothing to do with the real life situation and everything to do with how high your initial ask was.
A mediator helps the parties avoid that kind of tennis match by guiding them through a superior form of negotiation. The mediator prevents parties from making offers at the start (they'll be refused out of hand anyway, no matter how fair), draws out each of the parties' underlying interests, and turns them into something concrete and positive. Then the parties and mediator collaborate to create a custom solution that satisfies as many of their top priority interests as possible. This results in smarter, win-win solutions without burning bridges between parties. Like I said, in practice it does everything from repair friendships to allow businesses to make deals that don't leave any money on the table.
Retired Judge mediators, on the other hand, have no skills at superior negotiation or keeping heated discussions civil. They usually keep the parties in separate rooms the entire mediation. The parties are still batting tennis balls back and forth, all the judge does is take turns raising doubts in the parties' minds about how well they would do in court to pressure them to move their offers progressively closer to the center, then shuttle that offer to the other room. If you already have a competent lawyer who can give a fair assessment of your chances in court, the retired judge mediator brings nothing to the table. People are paying thousands of dollars to these retired judges for a task that could easily be performed by two empty soup cans connected by a length of string.
Two working class dudes, one black one white, just baked a tray of ten cookies together.
An oligarch walks in and grabs nine cookies for himself.
Then he says to the white dude "Watch out for that black dude, he wants a piece of your cookie!"