Lim-stable singularities are of log canonical type

Let $(R,\mathfrak{m})$ be a normal local domain essentially of finite type over a field of characteristic zero. Suppose that $R$ is lim-stable, for example, semistable. Lim-stability conjecture. Then $R$ is of log canonical type; in particular, $R$ is pseudo-log canonical. The claim strengthens the expectation that lim-stable singularities in characteristic zero are pseudo-log canonical without assuming numerical $\mathbb{Q}$-Gorensteinness. Its status is not resolved in the supplied text.