Co-equidistribution characterization of exclusive Grassmannian pairs

Let $F$ be a frame for $\mathbb{F}^n$, let $\tilde{F}$ be a dual frame, and let $(F,\tilde{F})$ be the associated frame pair. Co-equidistribution characterization conjecture. The frame $F$ forms an exclusive Grassmannian pair with $\tilde{F}$ if and only if $(F,\tilde{F})$ is co-equidistributed. When this holds, $\tilde{F}$ is the canonical dual of $F$.

The claim is suggested by the examples in the paper and combines the proposed characterization of exclusivity with the canonical-dual conclusion. No proof or resolution is supplied.