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You seem fixated on tournaments. I'll repeat:
1) Not everyone has enough experience to competently resolve in-game disputes (especially when the situation requires a comprehensive review).
2) Many disputes arise during the season, often involving newcomers. Who will spend time reviewing, providing guidance, and again, communicating the information to the public?
And do you really think that a judge, by disqualifying a player from a tournament based solely on their own perception of the situation, won't cause even more disputes?
Plus, the concept of being accountable for what you say – a person is more aware of and protects their own reputation than the reputation of some faceless body.
For example, I have a good opinion of most of the members of the Arbitration Committee (AK) as individuals, but as a group and in that role, they look dissonant.
2) If a judge is incompetent, you can simply not sign up for their next tournament. We can "vote with our feet."
It's much more difficult to re-elect the AK in a similar situation. You'll either have to "vote with your feet" by leaving the forum, which you may not always want to do, or only participate in offshore tournaments that are not under the jurisdiction of the AK. This is what I intend to do in the future. For example, I signed up for Navukh's tournament, where this point is stated in the regulations.
And how can we avoid the so-called "fraternization," where well-known players and personal acquaintances of the judge are treated more leniently than others?
I don't remember the situations you describe. Public opinion is always vigilant, and nepotism is strongly condemned by the public.
In any case, the course of action is the same as in the case of a judge's incompetence – we criticize them in posts and "vote with our feet." This usually helps.
And, by the way, regarding the AK, if you've noticed, the accusation being made is the opposite – the deliberate suppression of a competitor. That is, Pit is allegedly settling personal scores under the guise of the AK brand. And that's much worse.