The topological-recursion quantisation conjecture for the A-polynomial

Let $K\subset S^3$ be a knot with $A$-polynomial curve $A_K(m,\ell)=0$. Let $\hat A_K$ be the quantisation obtained from topological recursion: calculate the functions $S_k(u)$ by topological recursion and the source's exact-$S_k$ construction, form the corresponding wave function, and use it to produce $\hat A_K$. Dijkgraaf–Fuji–Manabe conjecture. The coloured Jones polynomial should satisfy

$$\hat A_K J_N(K;e^{\hbar})=0.$$

This conjecture proposes that topological recursion quantises the knot's $A$-polynomial in a way that annihilates the coloured Jones polynomial. The source provides no resolution evidence.