Spectral-network singular-locus conjecture for universal buildings

Let $X$ be a Riemann surface and let $\phi$ be a spectral cover. Let $\mathcal W$ be the spectral network associated to $\phi$, and let $\widetilde{\mathcal W}$ be its lift to $\widetilde X$. Let $h^{\phi}:\widetilde X\to\mathcal B^{\phi}$ be the universal $\phi$-map, and call the points where $\mathcal B^{\phi}$ is not locally an apartment its singular set. Spectral-network singular-locus conjecture. The support of $\widetilde{\mathcal W}$ coincides with the inverse image of the singular set of $\mathcal B^{\phi}$ under $h^{\phi}$. The conjecture relates spectral-network collision and branch data to the singularities of the universal building. The source refers to a caveat immediately after the statement and gives no resolution.