Logarithmic K-theory comparison conjecture

Let $S$ be a scheme. Write $\Kthlog(S)$ for its logarithmic $K$-theory spectrum and $\Kth(S)$ for its algebraic $K$-theory spectrum. Logarithmic K-theory comparison conjecture. For every $S\in\Sch$ there exists an equivalence of spectra

$$\Kthlog(S) \simeq \Kth(S).$$

The preceding discussion establishes this equivalence when $S$ is a regular log scheme in the stated setting, and in particular when $S\in\Sm/k$. The conjecture asks whether the comparison holds for every scheme.