Montejano–Roldán-Pensado–Swanepoel realization conjecture for involutive polyhedral graphs

Let $G=(V,E)$ be an involutive polyhedral graph: a self-dual polyhedral graph equipped with an involution $\tau$ satisfying $v\notin\tau(v)$ and $u\in\tau(v)\iff v\in\tau(u)$. A Reuleaux polyhedron $R(S)$ is the ball polyhedron associated with a suitable finite point set $S$. Montejano–Roldán-Pensado–Swanepoel conjecture. Every involutive polyhedral graph $G=(V,E)$ is isomorphic to the $1$-skeleton of a Reuleaux polyhedron $R(S)$ for some set of points $S$. The supplied text only says that this was stated in the cited work; it gives no resolution or subsequent status.