I spelled it out, it's a trade off. The third party don't improve the sport unless they reduce the cost of verification, increase the challenge, or make it more universal.

Take another example of a trade off: you can reduce the challenge, the difficulty of the goal, if it makes the game more inclusive. But if reducing the challenge doesn't effect any of the other dimensions then it's objectively worse. Same with a third-party, if introduced the game isn't better because there is a third-party, but because one or more of the other dimensions have been improved upon.

The specific rules of the sport are derivative of these principles, which have to be juggled.

Politics is the process of determining which principle takes priority in any given context, and the priorities of individuals for one or more of the principles is what determines their position on the political spectrum.

Left-libertarian = care + independence Right-authoritarian = challenge + verification