But that doesn't mean that frequent complaints about moderation are normal.

Are there any? Besides the two "scandals" with Lizard, I don't really remember anything major. And in Lizard's case, the evidence suggests that he has behavioral problems in the lobby, so it's natural that he will eventually "get himself into trouble" (fortunately, the punishments are now temporary, and the gray mark does not block the ability to play in the lobby). I have nothing against Lizard as a person, but his fame and connections with other top players do not give him any special rights or protection from punishments in the lobby.

To come to the conclusion that a new team of random volunteers will work better than the current one, you need evidence that the moderation is terrible.