Analytic torsion convergence conjecture for Benjamini–Schramm covers

Let $M$ be a fixed closed hyperbolic $3$-manifold, and let $M_n$ be covers of $M$ that Benjamini–Schramm converge to hyperbolic $3$-space $\mathbb{H}^3$. The analytic torsion convergence conjecture. One should have

$$\frac{\tau(M_n)}{\operatorname{vol}(M_n)} \to \frac{1}{6\pi}.$$

This is presented as a broadening of the first, analytic-torsion part of the Bergeron–Venkatesh conjecture from arithmetic towers to all covers of a fixed closed hyperbolic $3$-manifold. The source reports computational evidence supporting it, while also giving examples showing that Benjamini–Schramm convergence alone does not force the same conclusion for arbitrary sequences.