The weak Gelfand-type classification conjecture for the Cayley plane and Freudenthal variety

Let $\mathcal{O}_q(\mathbb{OP}^2)$ be the quantum Cayley plane and $\mathcal{O}_q(\mathbf{F})$ the quantum Freudenthal variety, each equipped with its Heckenberger--Kolb calculus. Exceptional weak Gelfand conjecture. The quantum Cayley plane $\mathcal{O}_q(\mathbb{OP}^2)$ is of weak Gelfand type, whereas the quantum Freudenthal variety $\mathcal{O}_q(\mathbf{F})$ is not of weak Gelfand type. This is the conjectural extension of the spherical-generator classification to the exceptional cases; no proof or disproof is reported in the source.