Topological realization in geodesic balls of spherical and hyperbolic space

Let $B$ be any geodesic ball in $\mathbb{S}^3_+$ or $\mathbb{H}^3$. Geodesic-ball realization conjecture. The ball $B$ admits a free boundary minimal surface of every prescribed orientable topology. The source presents this as an expected extension of the eigenvalue-optimization methods and gives no resolution.