The punctured-torus skeleton conjecture for the Fukaya category

Let $(\Sigma,\Gamma_\Sigma)$ be a punctured Riemann surface together with its skeleton, and let $\mathrm{CPM}(-)$ be the sheaf of dg categories on $\Gamma_\Sigma$ whose local restrictions agree with the microlocal sheaf categories associated to conical Lagrangians. Write $\mathrm{CPM}(\Gamma_\Sigma)$ for its category of global sections, and let $Fuk(\Sigma)$ denote the Fukaya category of compact exact Lagrangians in $\Sigma$. Skeleton conjecture. $\mathrm{CPM}(\Gamma_\Sigma)$ is quasi-equivalent to

$$Fuk(\Sigma).$$

This is a homological mirror symmetry assertion identifying the sheaf-theoretic category constructed from the skeleton with the Fukaya category of the punctured surface. The supplied text gives no resolution of the conjecture.