Chern-Simons reciprocity for boundary-parabolic representations

Let $M$ be an oriented compact $3$-manifold with a torus boundary, and let $\mathrm{R}^{\rm para}_{\mathrm{SL}_2(\mathbb{C})}(M)$ be the set of conjugacy classes of boundary-parabolic representations $\pi_1(M)\to\mathrm{SL}_2(\mathbb{C})$. Assume this set is finite, and let $\mathrm{CS}(\rho)\in\mathbb{C}/\mathbb{Z}$ denote the Chern-Simons invariant. Boundary-parabolic Chern-Simons reciprocity conjecture. If $|\mathrm{R}^{\rm para}_{\mathrm{SL}_2(\mathbb{C})}(M)|<\infty$, then

$$24\sum_{\rho\in\mathrm{R}^{\rm para}_{\mathrm{SL}_2(\mathbb{C})}(M)}\mathrm{CS}(\rho)=0.$$

The statement is posed as an analogue of the closed-manifold reciprocity problem for manifolds with torus boundary; the supplied passage gives no proof or resolution.