The natural nerve model-structure conjecture for strict n-categories

Let $n$ be a nonnegative integer, let $n\mathcal{C}\!\mathit{at}$ denote the category of strict $n$-categories, and let

$$N^{\natural}_n\colon n\mathcal{C}\!\mathit{at}\to\mathcal{S}\!\mathit{et}^{t\Delta^{\operatorname{op}}}$$

be the natural $n$-nerve, with $\mathcal{S}\!\mathit{et}^{t\Delta^{\operatorname{op}}}$ the category of marked simplicial sets with the Riehl--Verity model structure for $(\infty,n)$-categories. Natural nerve model-structure conjecture. The model structure on $n\mathcal{C}\!\mathit{at}$ is right-transferred from the Riehl--Verity model structure on $\mathcal{S}\!\mathit{et}^{t\Delta^{\operatorname{op}}}$ along $N^{\natural}_n$. This would provide the desired homotopical model for strict $n$-categories and relate their categorical equivalences to the $(\infty,n)$-categorical model structure; the source presents it as a conjecture to be proved in forthcoming work.