Stoyanovsky's quantum geometric Langlands conjecture

Let $X$ be a global curve, let $G$ and $G$ be Langlands-dual groups, and let $Bun_G$ and $Bun_{G}$ be their stacks of principal bundles on $X$. For twisting parameters $c$ and $check c$, consider the corresponding derived categories of twisted D-modules. Stoyanovsky's conjecture. There should be an equivalence

$$D(D\operatorname{mod}^{-c}(Bun_G))\simeq D(D\operatorname{mod}^{check c}(Bun_{G})).$$

The proposal is meant to degenerate to the usual geometric Langlands equivalence as $c\to0$ and $check c\to\infty$. It is attributed in the source to Feigin, Frenkel and Stoyanovsky, but the paper gives no resolution status.