K-polystability implies reduced uniform K-stability

Let $(X,\Delta)$ be a log Fano pair. K-polystability conjecture. If $(X,\Delta)$ is K-polystable, then it is reduced uniformly K-stable. This is the K-polystable analogue of the conjecture that K-stability implies uniform K-stability; the statement concerns whether reduced uniform K-stability provides a quantitative strengthening of K-polystability.