Vanishing of the two-variable series for non-B-adequate links

Let $L$ be a framed link, and let $J_{\thicksim}(L)$ denote the two-variable Laurent series associated with $L$ in the source. A framed link is B-adequate if it has the relevant B-adequate diagrammatic property. Vanishing conjecture. If $L$ is not B-adequate, then

$$J_{\thicksim}(L)\equiv 0.$$

The series is a topological invariant of the framed link and encodes the asymptotic expansion of the colored Jones polynomial. The conjecture would extend the observed vanishing for examples such as the indicated torus knots; the source gives no proof or resolution.