Generalised Delta conjecture, valley version

Let $m,n,k$ be nonnegative integers, and let $\Delta_f$ and $\Delta'_f$ denote the Delta operators on symmetric functions, with $h_m$ and $e_j$ the complete homogeneous and elementary symmetric functions. Let $\mathsf{LD}(m,n)^{\bullet k}$ be the set of labelled valley-decorated Dyck paths of size $m+n$ with $m$ zero labels and $k$ decorated valleys; for $\pi$ in this set, let $\mathsf{dinv}(\pi)$, $\mathsf{area}(\pi)$, and $x^\pi$ denote its associated statistics and monomial weight.

Generalised Delta conjecture, valley version.

$$\Delta_{h_m} \Delta'_{e_{n-k-1}} e_n = \sum_{\pi \in \mathsf{LD}(m,n)^{\ast k}} q^{\mathsf{dinv}(\pi)} t^{\mathsf{area}(\pi)} x^\pi.$$

For $m=0$ this appeared with the rise version in the work of Haglund, Remmel, and Wilson; the full statement and the case $q=0$ were given by Qiu and Wilson. The general case remains open.