The stability-series formula for strongly quasinegative knots

Let $K$ be a strongly quasinegative knot. Assume that its stratified sum converges to a power series $F_K\in\mathop{\mathrm{FKring}}$, and let $\Phi_K(x,q)$ denote the stability series of $K$. Stability-series formula conjecture.

$$F_K(x,q)=-(1-q)q^{-\genusK}x^{\genusK-1/2}\Phi_K(x,q).$$

The source proposes this formula under the stated convergence assumption; it is motivated by the negative-torus-knot case and remains open in the stated generality.