Ricci-flat convergence conjecture for minimal models with Kodaira dimension zero

Let $X$ be a minimal model with $\textnormal{kod}(X)=0$ and numerically trivial $K_X$, and let $[H]$ be the initial Kähler class. Consider the unnormalized Kähler-Ricci flow

$$\frac{\partial \omega}{\partial t}=-\operatorname{Ric}(\omega).$$

Ricci-flat convergence conjecture. As $t\to\infty$, the flow converges in the Gromov-Hausdorff sense to the unique Ricci-flat Kähler metric in $[H]$. Smooth convergence is known when $X$ is smooth, and weak convergence is known for log terminal singularities; the full formulation is therefore motivated by these partial results.