Elliptic cuspidal decomposition conjecture for the $\mathrm{SL}_N$ skein category of the torus

Let $N$ be a positive integer, let $T^2$ be the torus, and let $\mathrm{SkCat}_{\mathrm{SL}_N}(T^2)$ and $\mathrm{SkAlg}_{\mathrm{SL}_{N/d}}$ denote the corresponding skein category and skein algebra. Elliptic cuspidal decomposition conjecture. There is an equivalence of categories

$$\mathrm{SkCat}_{\mathrm{SL}_N}(T^2) \simeq \bigoplus_{d \mid N} \mathrm{SkAlg}_{\mathrm{SL}_{N/d}}\textrm{-mod}^{\, \oplus d^2 J_1(d)}.$$

This is presented as a refinement of the categorical finiteness conjecture, based on elliptic cuspidal data; the prediction is stated for $\mathrm{SL}_N$, while the source gives no resolution status.