well according to those logics and views there are some contradictions that are acceptable. im not saying that arbitrary contradictory sentences make sense and i dont even know too much about those views but im open to the idea that logic can be done in different ways.

 

even so, i dont think the idea of non-contradiction is enough to pick out truth because truth depends on the premises and if these are blurry or underdetermined or context dependent then its not straightforward.