Bounded-discrepancy hypersurface singularity conjecture

Let $(X\ni P)$ be an $n$-dimensional $(n\ge 3)$ canonical (log canonical) hypersurface singularity. Let $f$ be a log resolution and suppose

$$\min\{a(E,0)\mid f(E)=P\}\ge n-2.$$

Bounded-discrepancy hypersurface singularity conjecture. There exists a hyperplane section $H$ such that $(X,H)$ is plt (lc). Hence $(X\ni P)$ is not weakly exceptional (not exceptional) singularity. The claim concerns the relationship between discrepancies of hypersurface singularities and the existence of hyperplane sections with prescribed singularity type. The cited source is presented as support for the assertion, but its resolution status is not established in the supplied text.