The Alexander-polynomial formula for the universal invariant of long knots

Let $B$ be the Hopf algebra under consideration, let $K$ be a long knot, and let $\boldsymbol{\dot{a}}$ denote the corresponding central element in the quantum double representation used to define the universal invariant. Let $\Delta_K(t)$ be the Alexander polynomial of $K$, normalized by

$$\Delta_K(1)=1,\qquad \Delta_K(t)=\Delta_K(1/t).$$

Universal-invariant conjecture. The universal invariant associated to $B$ has the form

$$Z_B(K)=\bigl(\Delta_K(\dot{a})\bigr)^{-1}.$$

This identifies the universal invariant with the inverse of the Alexander polynomial evaluated at the central element $\dot{a}$. The supplied text does not state whether the claim has been proved or refuted, so its status remains open.