Fiddler crabs have one large claw and one small one. Usually which is bigger (right or left) is distributed 50/50. But there is one species - an Australian one - where only 1.4% are left-clawed.
A crab finding itself left-clawed means they fight differently and are generally less successful in fights, thus they live a more asocial life by choice and necessity. https://en.wikipedia.org/wiki/Gelasimus_vomeris
Why wouldn't it be like human martial arts, where a left-handed fencer or boxer has the advantage of novelty over a right-handed opponent? Even in something like table tennis this has an effect. Baseball too, but for slightly different reasons.
Perhaps it's an issue with multiple combatants? If fights are not one on one then having one crab be difficult to work with can be a problem
now I want a childrens movie about a left-handed crab who fights for all left-handed crabs to be let back into society.