Freeness conjecture for relative Kauffman bracket skein modules of closed surfaces

Let $F$ be a closed surface, let $x_i\in F\times\{0\}$ for each $i$, and let ${\cal S}_{2,\infty}(F\times I,\{x_i\}_1^{2n};R,A)$ denote the relative Kauffman bracket skein module with these $2n$ marked points over $R$. Freeness conjecture. The skein module

$${\cal S}_{2,\infty}(F\times I,\{x_i\}_1^{2n};R,A)$$

is free. The question is open in general; the source notes that it is confirmed when $F$ is a torus and $n=1$.