The ergodic commutant conjecture for sofic groups

Let $G$ be a sofic group, let $\mathcal{S}$ be the universal sofic group, and let $\mathcal{L}$ be the Loeb measure space. For an embedding $\pi:G\to\mathcal{S}$, write $\pi(G)'\cap\mathcal{S}$ for the subgroup of elements in $\mathcal{S}$ commuting with $\pi(G)$.

Ergodic commutant conjecture. Every sofic group $G$ admits an embedding $\pi:G\to\mathcal{S}$ such that the action

$$\pi(G)'\cap\mathcal{S}\curvearrowright\mathcal{L}$$

is ergodic.

A positive answer would remove the subamenability assumption in the theorem discussed immediately before this conjecture and would provide a route to constructing non-sofic groups via amalgamated products without amenable amalgams. The supplied text does not state that the conjecture has been resolved.