Strong Campana uniruledness conjecture for Fano orbifolds

Let $(X,\Delta_\epsilon)$ be a klt Campana orbifold over a field of characteristic $0$. It is strongly Campana uniruled when there exists a free Campana curve $f:C\to X$ such that the class $f_*[C]$ lies in the interior of the nef cone $\operatorname{Nef}_1(X)$ of curves. Strong Campana uniruledness conjecture. Every klt Fano orbifold $(X,\Delta_\epsilon)$ is strongly Campana uniruled. This stronger conjecture is introduced for the paper's applications; the supplied text gives no resolution, so its general status remains open.