The simplicial-volume equality conjecture for manifolds covered by $(\mathbb{H}^2)^n$

Let $M$ be a closed oriented manifold covered by $(\mathbb{H}^2)^n$, and let $\Theta_n$ be the bounded volume form defined in the preceding conjecture. Simplicial-volume equality conjecture. The simplicial volume of $M$ satisfies

$$\|M\|=\dfrac{\operatorname{Vol}(M)}{\|\Theta_n\|_{\infty}}.$$

The paper establishes the corresponding upper bound for the norm of the volume class and invokes the proportionality principle; the conjecture asks whether this inequality is actually an equality. The source does not state whether this conjecture is resolved.