Artin vanishing conjecture for Zariski-constructible sheaves on affinoids

Let $X$ be an affinoid rigid space over a complete algebraically closed nonarchimedean field $C$. Let $n$ be prime to the residue characteristic of $C$, and let $\mathscr{G}$ be a Zariski-constructible sheaf of $\mathbf{Z}/n\mathbf{Z}$-modules on $X_{\mathrm{\acute{e}t}}$. Artin vanishing conjecture. One should have

$$H_{\mathrm{\acute{e}t}}^{i}(X,\mathscr{G})=0$$

for all $i>\mathrm{dim}X$. This is the proposed rigid-analytic analogue of Artin's vanishing theorem. The naive statement for arbitrary torsion étale sheaves fails, so the conjecture restricts to Zariski-constructible coefficients; its resolution is not supplied here.