I’m not an expert on shooting styles or an Olympic coach but I’ve seen many Championships won and lost.

Looking at the photos above the really odd styles all seem to be dated. In the 1960-1980 era freak positions were very common.
Very few if any of the really odd ones lasted long. It always appeared to me that those odd ones who won did so in spite of outlandish form rather than because of it.

The really pitiful ones were the lesser shooters who emulated the form with notable lack of success. Frankly, they just looked foolish. I recall one international skeet shooter whose position was so low his bottom was nearly on the ground. His form was derisively called the DOG SQUAT.

Long to short is that science and history favor a simple, easily repeatable approach that does not unduly fatigue muscles or place the shooter off balance. Eyes level, slight forward lean, feet well positioned with respect to target.

Consistent success comes from avoiding extreme, non repeatable positions.