Conjecture on singular spherical and hyperbolic orbifold limits of Einstein manifolds

Let $(M_o,g_o)$ be a singular spherical or hyperbolic orbifold, and let $(M_i,g_i)$ be smooth Einstein manifolds. Spherical and hyperbolic orbifold limit conjecture. Singular spherical and hyperbolic orbifolds cannot be Gromov–Hausdorff limits of smooth Einstein manifolds; equivalently, there is no sequence such that

$$(M_i,g_i)\xrightarrow{GH}(M_o,g_o).$$

The conjecture would remove the technical integrability assumption from the paper's obstruction theorem, which rules out desingularization by smooth integrable Ricci-flat ALE models. The source does not state a resolution.