Gendulphe's density conjecture for projective measured foliations

Let $\no_g$ be a non-orientable surface with $g\geq 4$. Let $\pmf^+(\no_g)$ be the space of projective measured foliations on $\no_g$ containing no one-sided leaves, and let $\pmf^+(\no_g,\mathbb{Q})$ be the set of projective weighted rational multicurves containing no one-sided leaves. Gendulphe's density conjecture.

$$\pmf^+(\no_g)=\overline{\pmf^+(\no_g,\mathbb{Q})}.$$

The conjecture asserts that foliations without one-sided leaves are exactly approximable by rational two-sided multicurves. It provides the expected description of the natural lower bound for the dynamical limit set of the mapping class group; the source does not report a resolution.