The equivalent-definition conjecture for dlt generalized pairs

Let $(X,B,\mathbf{M})/U$ be an lc g-pair. The terms log resolution, descent of the b-divisor, and lc center are understood in the usual sense. The dlt characterization conjecture. Then $(X,B,\mathbf{M})$ is dlt if and only if there exists a log resolution $f:Y\rightarrow X$ of $(X,\operatorname{Supp} B)$ and an open subset $V\subset X$ such that $\mathbf{M}$ descends to $Y$, $f$ is an isomorphism over $V$, and $V$ contains the generic point of every lc center of $(X,B,\mathbf{M})$. This proposes an equivalent definition of dlt generalized pairs; the supplied text gives no resolution status.