Ergodicity conjecture for outer automorphisms of free groups

Let $\pi$ be a free group of rank $r$, let $G$ be a compact connected Lie group, and let $\mathsf{Hom}(\pi,G)$ carry the probability measure induced by Haar measure on $G$.

Free-group ergodicity conjecture. If $r\geq 3$, the action of $\mathsf{Out}(\pi)$ on $\mathsf{Hom}(\pi,G)$ is ergodic.

This is the free-group analogue of the ergodicity phenomenon for mapping class groups acting on surface-group representation spaces. The source gives no resolution of the claim.