Conjecture on maximal Ext-orthogonal sets of irreducible components

Let $Q$ be a Dynkin quiver of type $\mathbb{A}_n$, $\mathbb{D}_n$ or $\mathbb{E}_{6,7,8}$, let $\Lambda$ be its preprojective algebra, and let $R^+$ be the set of positive roots of $Q$. For an indecomposable irreducible component $C$, let $\mu_g(C)$ denote its generic number of indecomposable direct summands. Consider a maximal set $\{C_i\subseteq\Lambda({\bf d}_i)\mid i\in I\}$ of pairwise different indecomposable irreducible components satisfying ${\rm ext}_{\Lambda}^1(C_i,C_j)=0$ for all $i,j$. Ext-orthogonal component conjecture. Then

$$|I|=|R^+|-\sum_{i\in I}\mu_g(C_i).$$

This extends the finite and tame cases described immediately beforehand; the source does not report a resolution.