Existence of a stability weight making Dynkin quiver indecomposables stable

Let $Q$ be a quiver whose underlying unoriented graph is a disjoint union of Dynkin diagrams of type $A$, $D$, or $E$. A representation of $Q$ is called stable with respect to a weight $\Theta$ when it satisfies the stability condition determined by $\Theta$. Dynkin stability conjecture. There exists a weight $\Theta$ such that the stable representations of $Q$ are precisely the indecomposable representations. This would extend the stability description from the preceding examples to all quivers of Dynkin type; the supplied text gives no resolution status.