[CecilOne]

The systems you refer to are dual, triple (aka double-dual) and diagonal. All take teaching and experience.
All will fail if the refs involve do not work conscientiously; or if one or more try to make a change look bad. Unfortunately, too many people are concerned about how many refs and ego instead of focusing on understanding the system.
All will succeed if the refs involved decide to make it so.
A major problem is those who look at high school officiating as second class and see everything in the light of USSF. Add to that those who can not or will not learn more than one system; alomost guaranteeing they will only do well in one.
In your examples, it seems teaching is lacking as well as experience. Most 3 ref crews end up working diagonal because of tradition, less mental effort if they work USSF, and the unproven theory that it is more effective.

For me the triple, misnamed double-dual, with three equal referees using whistles is clearly the most thorough field coverage, strongest presence to the players, most accurate calls, etc. Like dual, it suffers from those who think that only they can judge the game and they can cover the whole field. If we are all working with the same rules, and we all drop out ad-hoc rules and criteria; then two or three refs will call the game accurately, fairly and consistently. To say that two or three refs on the field are less consistent than one ref on the field and two assistants off the field who call fouls in their corner is baseless. That is saying that two refs on two different games are not consistent from game to game, resulting in anarchy, is also baseless.
The exception are the ego-driven refs who again, think they are the only ones who can be fair and accurate on any given game.