Cherednik's duality conjecture for reduced superpolynomials

Let $\mathcal{P}_{n,m}^{\lambda}(u,q,t)$ be the stabilized superpolynomial and define its reduced version by

$$\mathcal{P}_{n,m}^{\lambda,\mathrm{red}}(u,q,t)=\frac{\mathcal{P}_{n,m}^{\lambda}(u,q,t)}{\mathcal{P}_{1,0}^{\lambda}(u,q,t)}.$$

Cherednik's duality conjecture. For the transposed partition $\lambda^t$,

$$q^{(1-n)|\lambda|}\mathcal{P}_{n,m}^{\lambda^t,\mathrm{red}}(u,q,t)=t^{(n-1)|\lambda|}\mathcal{P}_{n,m}^{\lambda,\mathrm{red}}(u,t^{-1},q^{-1}).$$

This is the second DAHA conjecture stated in the source; no resolution is supplied there.