Higher-rank surgery formula for $\hat{Z}^G$

Let $K\subset S^3$ be a knot, let $G$ be a root system with positive roots $\Delta^+$, and let $\mathcal{L}_{p/r}^{(b)}$ denote the surgery transform appearing in the formula. Higher-rank surgery formula. Whenever the right-hand side makes sense,

$$\hat{Z}_b^G\big(S_{p/r}^3(K)\big)\cong\mathcal{L}_{p/r}^{(b)}\left[\prod_{\alpha\in\Delta^+}\left(x^{\frac{\alpha}{2r}}-x^{-\frac{\alpha}{2r}}\right)F_K^G(\mathbf{x},q)\right].$$

The formula is stated as a higher-rank analogue of the ${\rm SU}(2)$ surgery formula. It is proved for knots and 3-manifolds represented by negative-definite plumbings, while its general scope is left conjectural.