Pseudo-rationality conjecture for p-adic local models

Let $\calM_{\calG,\mu}^{\on{sch}}$ be the scheme-theoretic local model attached to a parahoric group scheme $\calG$ and a minuscule cocharacter $\mu$. Pseudo-rationality conjecture. The local model $\calM_{\calG,\mu}^{\on{sch}}$ has pseudo-rational singularities. The conjecture is motivated by the singularity results of Fakhruddin–Haines–L.–R.; the source does not state that it has been proved in full generality.