Infirri's Ricci-flatness conjecture for the quotient Kähler metric

Let $M_\zeta$ be the Calabi–Yau ALE resolution in complex dimension $3$, let $g_\zeta$ be its quotient Kähler metric, and let $(\mathcal{H}^{0,1}_\alpha)^\Gamma$ denote the invariant harmonic $(0,1)$-forms appearing in the deformation model. Infirri's Ricci-flatness conjecture. The Kähler metric $g_\zeta$ has rate $-6$ and is Ricci-flat. The holomorphic volume form $\theta_\zeta\in\Omega^{3,0}(M_\zeta)$ is determined by $\Psi_\alpha(\beta,\gamma,\delta)=\operatorname{tr}(\alpha\beta\gamma)$ for $\beta,\gamma,\delta\in(\mathcal{H}^{0,1}_\alpha)^\Gamma$. Although a Ricci-flat Calabi–Yau metric exists in the relevant Kähler class by the cited result, the stronger assertion that the quotient metric itself is Ricci-flat remains conjectural in the source.