The log canonical center realization conjecture for Du Bois subsets

Let $(X, \Delta)$ be a quasi-projective, log canonical pair of dimension $n$. Let $V\subset X$ be a closed subset such that

$$\operatorname{mld}(V, X,\Delta)<\operatorname{lcg}(n)$$

and suppose that $V$ contains all log canonical centers of $(X, \Delta)$. A log canonical pair $(X,\Theta)$ is a pair with log canonical singularities. The conjecture asks whether there is such a pair for which $V$ is the union of all log canonical centers of $(X,\Theta)$.