Conjecture that the intermediate variety is the Narasimhan–Ramanan desingularization

Let $K_{\sigma}$ be the intermediate variety in the factorization of the morphism from the Kirwan desingularization $K$ to the desingularization $S$. Narasimhan–Ramanan desingularization conjecture. The intermediate variety $K_{\sigma}$ is the Narasimhan–Ramanan desingularization. The supplied text gives no resolution status; this statement appears to identify the intermediate variety constructed in the paper with the previously known Narasimhan–Ramanan desingularization.