Ergodicity conjecture for non-extreme Euler-class components

Let $\Sigma$ be a closed surface of genus $g$, let $G=\mathsf{PSL}(2,\mathbb{R})$, and let $e$ be the Euler-class map on the representation space $\mathsf{Hom}(\pi,G)$. For each integer $k$ with $1\leq k\leq 2g+b-2$, consider the component $e^{-1}(2-2g+b+k)$.

Euler-component ergodicity conjecture. For each integer $1\leq k\leq 2g+b-2$, the $\mathsf{Mod}_{\Sigma}$-action on the component $e^{-1}(2-2g+b+k)$ of $\mathsf{Hom}(\pi,G)$ is ergodic.

The claim concerns the non-extreme components of the $\mathsf{PSL}(2,\mathbb{R})$ representation space, contrasting with the proper action on the extreme components corresponding to Teichmüller space. The source does not state whether this conjecture has been resolved.