Strong Segre symmetry for equivariant Quot schemes of the plane

Let $r,N>0$, let $S=\mathbb{C}^2$, and set $E=\bigoplus_{i=1}^N\mathcal{O}_S\langle y_i\rangle$ and $V=\bigoplus_{i=1}^r\mathcal{O}_S\langle v_i\rangle$. Strong Segre symmetry. The Segre series satisfies

$${\mathcal{S}}_{S}(E,V;(-1)^Nq)={\mathcal{S}}_{S}(V,E;(-1)^rq).$$

This conjecture strengthens the weak symmetry established earlier in the paper and is motivated by symmetry in higher-degree Segre series. Its resolution is not given in the source.