Okounkov's shift-operator R-matrix conjecture

Let $S_\mathsf{w}$ be the shift operator associated with an integral cocharacter $\mathsf{w}$, and let $\mathsf{X}^{\nu_\mathsf{w}}\subset\mathsf{X}$ be the corresponding subvariety. The stable basis gives an identification under which operators may be compared with R-matrices.

Okounkov's shift-operator R-matrix conjecture. In the stable basis, the operator $S_\mathsf{w}$ is conjugate to the R-matrix for

$$\mathsf{X}^{\nu_\mathsf{w}}\subset\mathsf{X}.$$

The source says this follows from the preceding shift-operator conjecture and a factorization formula, but supplies no resolution status.