Stability-series existence for strongly quasinegative knots

Let $K$ be a strongly quasinegative knot, and let the colored Jones function denote the sequence of colored Jones polynomials of $K$. A stability series is a Laurent power series in $q$ obtained as the normalized stable limit of the colored Jones function. Stability-series existence conjecture. The colored Jones function of $K$ admits a stability series. The source presents this as a conjecture for strongly quasinegative knots; it does not claim a general proof.