Comparison conjecture for étale and logarithmic étale motives

Let $k$ be a field and let $\Lambda$ be the coefficient ring. Denote by $\operatorname{DM}^{\mathrm{eff}}_{\log,\acute{e}t}(k,\Lambda)$ and $\operatorname{DM}^{\mathrm{eff}}_{\log,l\acute{e}t}(k,\Lambda)$ the effective logarithmic motive categories for the étale and logarithmic étale topologies, respectively.

Étale comparison conjecture. There is an equivalence of triangulated categories

$$\operatorname{DM}^{\mathrm{eff}}_{\log,\acute{e}t}(k,\Lambda)\cong \operatorname{DM}^{\mathrm{eff}}_{\log,l\acute{e}t}(k,\Lambda).$$

The conjecture is motivated by comparison results for Hodge sheaves, while the failure of strict homotopy invariance for $\mathbb{Z}/n$ in the strict étale topology leaves the comparison of torsion cohomology unresolved.