Categorical weak crepant resolution conjecture for orbit closures

Let $(\mathrm{G},V)$ be a prehomogeneous vector space, meaning that a reductive linear group $\mathrm{G}$ acts on the finite-dimensional vector space $V$ with a dense orbit. Let $Z\subset V$ be the closure of an orbit of $\mathrm{G}$, and assume that $Z$ has Gorenstein rational singularities. Categorical weak crepant resolution conjecture. The variety $Z$ admits a categorical weakly crepant resolution of singularities.

This conjecture proposes categorical weakly crepant resolutions for orbit closures in prehomogeneous vector spaces under the stated singularity assumptions. The source provides no evidence of resolution.