Polyvector-field description of Viterbo symplectic cohomology

Let $\mathcal{R}$ be a simple eigenray diagram, let $M_{\mathcal{R}}$ be the associated symplectic manifold, and let $\mathcal{Y}_{\mathcal{R}}$ be its proposed non-Archimedean mirror. For each integer $k$, write $SH^k_{M_{\mathcal{R}}}(M_{\mathcal{R}},\Lambda)$ for the indicated symplectic cohomology group. Polyvector-field conjecture. There exists a ring isomorphism

$$SH^k_{M_{\mathcal{R}}}(M_{\mathcal{R}},\Lambda)\to\bigoplus_{p+q=k}H^p(\mathcal{Y}_{\mathcal{R}},\Lambda^qT\mathcal{Y}_{\mathcal{R}}),$$

where the group on the right is the Cech cohomology with respect to an affinoid or Stein cover. The source says this is expected to follow from a spectral sequence, but does not assert that the required argument has been completed.