The universal extremal-length constant conjecture for Liouville currents

Let $\Sigma$ be a hyperbolic surface, let $\mathcal{L}_{\Sigma}$ be its Liouville current, and let $\operatorname{EL}_{\Sigma}$ denote the continuous extension of extremal length to geodesic currents. Universal extremal-length constant conjecture. There is a universal constant $C$ such that

$$\operatorname{EL}_{\Sigma}(\mathcal{L}_{\Sigma})=C\operatorname{Area}(\Sigma).$$

This proposes a universal proportionality between the extremal length of the Liouville current and the hyperbolic area of the surface. The supplied text gives no resolution, so the conjecture remains open.