Jordan's Langlands duality conjecture for generic skein modules

Let $G$ be a reductive group, $G^{L}$ its Langlands dual, and $M$ a closed, connected, oriented $3$-manifold. Let $\operatorname{Sk}^{\operatorname{gen}}_{G}(M)$ denote the skein module with generic quantum parameters associated to $M$. Jordan's Langlands duality conjecture. There is an isomorphism

$$\operatorname{Sk}^{\operatorname{gen}}_{G}(M) \cong \operatorname{Sk}^{\operatorname{gen}}_{G^{L}}(M).$$

This is the skein-theoretic counterpart of Langlands duality for the cohomological Donaldson–Thomas invariants of local systems. The source presents it as Conjecture 1.1 of Jordan's work, and it remains open there.