Turner's simplicial vanishing conjecture for local complete intersections

Let $\Bbb{F}$ be a field and let $R$ be a simplicial commutative ring that is locally finite and locally of non-zero characteristic. Say that $R$ is locally a complete intersection when each localization $R_{\wp}$ is a complete intersection, and that it is locally $Q$-bounded when $(Q\pi_*R_{\wp})_s=0$ for all sufficiently large $s$ at every simplicial prime ideal $\wp$. Turner's vanishing conjecture. $R$ is locally a complete intersection if and only if $R$ is locally $Q$-bounded. This is proposed as a simplicial generalization of Quillen's conjecture. The source proves the conjecture under the stated finite-type and non-zero-characteristic hypotheses, while the general simplicial formulation is presented as the proposed statement.