The vanishing conjecture for equal-rank Lie superalgebra invariants of slice virtual knots

Let $K$ be a slice virtual knot, meaning that it is virtually concordant to the unknot, and let $m$ be an integer with $m\geq 1$. The invariant $\widetilde{f}^{\,m|m}_K(q,w)$ is defined from the generalized $U_q(\mathfrak{gl}(m|m))$ polynomial.

Vanishing conjecture. For all $m\geq 1$, if $K$ is a slice virtual knot, then

$$\widetilde{f}^{\,m|m}_K(q,w)=0.$$

The case $m=1$ is the generalized Alexander polynomial, which is a virtual slice obstruction, and direct calculations give vanishing for the listed slice virtual knots when $1\leq m\leq 5$. The conjecture proposes that this vanishing holds for every equal-rank case and every slice virtual knot.