Fame
Imagine you're a famous director researching the mating habits of Egyptian dung beetles for an upcoming Hollywood feature called Forever Dung. You go to the library and look around a bit, but ultimately have no idea where to find the answer. You ask a librarian, who points you to the information. Cut to two years later, when Forever Dung wins a Best Picture Oscar. Do you mention the librarian in your acceptance speech? Doubtful.
It's the same for professional arbitrators. People aren't really asking for their opinion—they're asking for information about the law. It's the arbitrator's job to cross-reference the dispute against legal precedent and determine which way the decision is supposed to fall.
For that reason, it doesn't really matter whether you're ruling on a civil suit between angry neighbors or two massive companies. Regardless of how often a case is reported in the media, it's likely that your name will never be included.
If you want to be famous, you'd do better sitting on the other side of that arbitration table.