Geodesic equicontinuity characterization of visibility

Let $\Omega\subset\mathbb C^N$ be a bounded convex domain, let $z_0\in\Omega$, and let $\mathcal G_{z_0}$ be the family of all geodesic segments and geodesic rays starting from $z_0$. Geodesic equicontinuity conjecture. Then $\Omega$ is visible if and only if $\mathcal G_{z_0}$ is uniformly equicontinuous. This would characterize visibility through the behavior of geodesics based at one interior point; the source gives no proof or counterexample.