Procházka–Rapčák Feigin–Frenkel duality conjecture for N=2 cosets

Let $n,r,s$ be non-negative integers, and let ${\mathcal C}^{\psi}_{{\mathcal N}=2}(n,r|s)$ denote the corresponding N=2 coset vertex algebra. Procházka–Rapčák duality conjecture.

$${\mathcal C}^{\psi}_{{\mathcal N}=2}(n,r|s)\cong\begin{cases}{\mathcal C}_{{\mathcal N}=2}^{\psi^{-1}}(r-s,n+s|s),&r\geq s,\\{\mathcal C}_{{\mathcal N}=2}^{\psi^{-1}}(s-r-1,r|n+r+1),&r<s.\end{cases}$$

These are conjectured Feigin–Frenkel-type dualities specialized to the universal ${\mathcal N}=2$ setting; the supplied text gives no resolution evidence.