Equality of divisorial and K-stability thresholds

Let $(X,B;L)$ be a polarized pair, and let $\sigma_{\mathrm{div}}(X,B;L)$ and $\sigma_{\mathrm{K}}(X,B;L)$ denote the divisorial and K-stability thresholds, respectively. Threshold equality conjecture. For any polarized pair $(X,B;L)$,

$$\sigma_{\mathrm{div}}(X,B;L)=\sigma_{\mathrm{K}}(X,B;L).$$

In particular, $(X,B;L)$ is divisorially semistable (resp. divisorially stable) if and only if it is K-semistable (resp. uniformly K-stable). The semistability and stability equivalence is known in the log Fano case; in the smooth complex case with $B=0$, the conjecture would give the uniform Yau--Tian--Donaldson equivalence.