Hoste–Przytycki wrapping number conjecture for annular links

Let $A$ be the annulus, and let $L\subset A\times I$ be an annular link. Let $\mathrm{wrap}(L)$ be the minimal geometric intersection number between $L$ and a meridional disk in $A\times I$. Let $\mathrm{KBSM}(A)$ denote the Kauffman bracket skein module of the annulus, equipped with its annular degree. Wrapping Number Conjecture. The Kauffman bracket skein module of an annular link $L$ is nonzero in annular degree $\mathrm{wrap}(L)$. This conjecture is the skein-theoretic predecessor motivating Grigsby's categorified version. It was posed by Hoste and Przytycki in 1995, and the source presents it as an older open conjecture.