The toric regulator and Sreekantan regulator comparison conjecture

Let $X$ be a variety with completely degenerate reduction, and let $\ell$ be a prime. The toric regulator at $\ell$ is obtained from the étale regulator by passage to the relevant toric quotient, while the Sreekantan regulator is the boundary map

$$\hmot(X,k+1,r)\cong CH^r(X,2r-k-1)\xrightarrow{\partial}CH^{r-1}(Y,2r-k-2)\otimes {\mathbb Q}.$$

Toric–Sreekantan regulator conjecture. For each prime $\ell$, the valuation of the toric regulator at $\ell$ is the Sreekantan regulator tensored with ${\mathbb Q}_\ell$. This conjecture predicts compatibility between the toric regulator constructed from the étale regulator and Sreekantan's regulator in the function-field setting. The supplied text gives no resolution status.