Cohen's refined Zaremba multiplicity conjecture

In the Zaremba setting, let

$$F\colon \begin{pmatrix}a&b\\c&d\end{pmatrix}\mapsto a$$

and let $\Gamma_A$, $B_n$, $\delta_A$, and $\operatorname{mult}(n)$ be the associated thin-orbit objects and multiplicity.

Cohen's refined Zaremba conjecture. The multiplicity satisfies

$$\operatorname{mult}(n)\sim 2\delta_A\frac{\#(\Gamma_A\cap B_n)}{n}\times\frac{\pi^2}{6}\times\prod_{p\mid n}\left(1-\frac1p\right).$$

This is described as a more precise formulation of Zaremba's conjecture, based on the Local-Global Conjecture and singular-series calculations. The supplied text gives no resolution.