Reduced Khovanov torsion conjecture for T-rich knots

Let $K$ be a knot. It is T-rich if it satisfies the knight-move condition, has no torsion of odd order, and has at least one torsion rank exceeding the value prescribed by the corresponding knight-move pair. The reduced Khovanov homology is the reduced version of Khovanov homology.

Reduced-torsion conjecture. The knot $K$ is T-rich if and only if its reduced Khovanov homology has torsion.

The source reports very few knots with torsion in reduced homology and says that all known examples are T-rich, so the conjecture is motivated by computations but remains unresolved in the supplied text.