Let $$ be a quantum affine algebra of untwisted affine ADE type and let $$ be Hernandez-Leclerc’s category. For a duality datum $$ in $$, we denote by $$ the quantum affine Weyl-Schur duality functor. We give a sufficient condition for a duality datum $$ to provide the functor $$ sending simple modules to simple modules. Moreover, under the same condition, the functor $$ has compatibility with the new invariants introduced by the authors. Then we introduce the notion of cuspidal modules in $$, and show that all simple modules in $$ can be constructed as the heads of ordered tensor products of cuspidal modules. We next state that the ordered tensor products of cuspidal modules have the unitriangularity property.