The degree equality conjecture for almost positive knots

Let $K$ be an almost positive knot. Write $\Delta_K$ for its Alexander polynomial and $V_K$ for its Jones polynomial, with $\max\deg \Delta_K$ and $\min\deg V_K$ denoting the corresponding extreme degrees. The degree equality conjecture.

$$\max\deg\Delta_K=\min\deg V_K.$$

The statement is presented as a conjectural strengthening of finiteness results for almost positive knots; the supplied text gives no evidence that it has been resolved.