Vogan's conjecture on special unipotent representations

Let $\mathfrak{g}$ be the Lie algebra of a complex semisimple Lie group. Let $\mathcal{O}$ be a special nilpotent orbit, let $\overline{A}(\mathcal{O})$ be its Lusztig quotient, and let $X_{\mathcal{O},\pi}$ denote the special unipotent representation corresponding to an irreducible representation $\pi$ of $\overline{A}(\mathcal{O})$. Let $A(\mathcal{O})$ be the component group and let $R(\mathcal{O},\rho)=\operatorname{Ind}_{G^e}^{G}(\rho)$. Vogan's conjecture. For every irreducible representation $\pi$ of $\overline{A}(\mathcal{O})$, there exists an irreducible representation $\rho$ of $A(\mathcal{O})$ such that

$$X_{\mathcal{O},\pi}|_{K_{\mathbb{C}}}\cong R(\mathcal{O},\rho)=\operatorname{Ind}_{G^e}^{G}(\rho).$$

The conjecture relates special unipotent representations to regular functions on nilpotent orbit covers. The source gives no resolution status.