Ancestor vanishing conjecture for ADE surface singularities

Let $G$ be a finite group of ADE type, let $\rho$ be an irreducible two-dimensional representation of $G$, and let $F_{\rho}^{1}$ be the associated Hodge bundle on $\overline{\mathcal{M}}_{g,n}(BG;\lbrack\!\lbrack a_{1}\rbrack\!\rbrack,\ldots,\lbrack\!\lbrack a_{n}\rbrack\!\rbrack)$. Let $\bar{\psi}_{\lbrack\!\lbrack a_{k}\rbrack\!\rbrack}$ denote the corresponding ancestor cotangent-line class, and let $c_{2g-2+n}(F_{\rho}^{1})$ be the indicated Chern class. Ancestor vanishing conjecture. If $(\lbrack\!\lbrack a_{1}\rbrack\!\rbrack,\ldots,\lbrack\!\lbrack a_{n}\rbrack\!\rbrack)\neq\lbrack\!\lbrack 1\rbrack\!\rbrack^{n}$ and $\sum_{k=1}^{n}l_{k}=g-1$, then

$$\int_{\overline{\mathcal{M}}_{g,n}(BG;\lbrack\!\lbrack a_{1}\rbrack\!\rbrack,\ldots,\lbrack\!\lbrack a_{n}\rbrack\!\rbrack)}c_{2g-2+n}(F_{\rho}^{1})\prod_{k=1}^{n}\bar{\psi}_{\lbrack\!\lbrack a_{k}\rbrack\!\rbrack}^{l_{k}}=0.$$

This is proposed as the ancestor analogue of the corresponding primary vanishing statement and is intended to support the crepant resolution conjecture for gravitational ancestors. The supplied text does not state whether it has been proved in full generality.