Generic existence conjecture for basic WKB cameral networks

Let $\mathcal A$ be the Hitchin base. A basic WKB cameral network associated to $a\in\mathcal A$ consists of a suitable homotopy-equivalent open subset of the curve together with finitely many labelled Stokes curves and their joints, as in the WKB construction. Generic existence conjecture. With respect to the classical topology, there is a dense open set $U\subset\mathcal A$ such that every $a\in U$ has an associated basic WKB cameral network. The conjecture would establish generic existence of finite WKB cameral networks; the supplied text does not state that it has been proved.