Gromov's generalized Weyl law conjecture for widths of cycles

Let $M^n$ be a closed $n$-dimensional manifold with $n\geq 2$, and let $\omega_p^1(M^n,g)$ denote its $1$-dimensional $p$-width with respect to a Riemannian metric $g$. The volume of $M^n$ is denoted by $\operatorname{Vol}(M^n,g)$. Gromov's generalized Weyl law conjecture. There exists a constant $\alpha(n,1)>0$ such that

$$\lim_{p\to\infty}\omega_p^1(M^n,g)p^{-\frac{n-1}{n}}=\alpha(n,1)\operatorname{Vol}(M^n,g)^{\frac{1}{n}}.$$

This is the expected Weyl law for $1$-dimensional cycles, extending the known volume-spectrum Weyl law to other dimensions and codimensions. The supplied text does not state whether this conjecture has been resolved.