Universal quantum modularity conjecture for geometric integer homology spheres

Let $M\cong N/\pi_1(M)$ be a geometric integer homology sphere with model geometry $N$, and let $W_M(\xi)$ be its properly normalized Witten–Reshetikhin–Turaev invariant for a primitive root of unity $\xi$ of odd order. Take $\xi=e^{\frac{2\pi i s}{r}}$ with $r\in 2\mathbb Z_{\geq 1}+1$ and $s\in 4\mathbb Z+1$. Write $\tilde\xi=e^{-\frac{2\pi i r}{s}}$, let $\operatorname{CS}[A]$ denote the Chern–Simons invariant of a flat connection, and let $A_*$ be the geometric flat connection induced by the geometric structure. Universal quantum modularity conjecture. As $r\to+\infty$ through integers coprime with $s$,

$$W_M(\xi)\simeq\sum_{A\in\pi_0(\operatorname{Hom}(\pi_1(M),SL(2,\mathbb C)))}e^{2\pi i\frac{r}{s}\operatorname{CS}[A]}P_A(\tilde\xi)I_A\left(\frac{s}{r}\right),$$

where $P_A(\tilde\xi)\in\mathbb Z[\tilde\xi]$ and $I_A(s/r)\in(s/r)^{\delta_A/2}\mathbb C\llbracket s/r\rrbracket$ for some $\delta_A\in\mathbb Z$; moreover,

$$P_{A_*}(\xi)=\xi^\delta W_M(\xi)+C_N,$$

with $\delta\in\mathbb Z$ and $C_N=-1$ if $N=S^3$, while $C_N=0$ otherwise. This extends quantum modularity from hyperbolic manifolds to geometric 3-manifolds and predicts that WRT asymptotics decompose into contributions from flat connections. The supplied text presents it as a conjecture but gives no resolution evidence.