Non-realizability of the spun Kishino torus

Let $KI$ be the Kishino virtual knot, and let $S_T(F\times [0,1],K)=(F\times S^1\times [0,1],K\times S^1)$ be the generalized spinning construction. Non-realizability conjecture. The virtual $2$-knot $S_T(KI)$ is not realizable as a classical knot. The source notes that either this gives a nontrivial classical torus knot with infinite cyclic knot group or it is a non-realizable virtually knotted torus; the conjecture selects the latter possibility.