The conjectural dotted-arrow identification for seminilpotent quiver varieties

Let $Q$ be the quiver, let $\mathbf{d}\in\mathbb{N}^{Q_0}$, and let $\mathfrak{N}_{\Pi_Q,\mathbf{d}}^{\mathcal{SSN}}$ be the seminilpotent stack, with irreducible components $Z\in\operatorname{Irr}(\mathfrak{N}_{\Pi_Q,\mathbf{d}}^{\mathcal{SSN}})$. Let $f_Z$ denote the element associated with $Z$ by the cited lemma, and let $[Z]$ be its fundamental class. Dotted-arrow identification. The assignment

$$f_Z\longmapsto (-1)^{\langle\mathbf{d},\mathbf{d}\rangle}[Z]$$

should define the dotted arrow in the realization diagram in such a way that the entire diagram commutes. This would identify the basis indexed by irreducible components with the corresponding fundamental classes and complete the compatibility among the algebraic, constructible-function, and Borel--Moore homology realizations. The source does not provide evidence that this conjecture has been resolved.