Rise version of the Extended Delta Conjecture

Let $\mathcal{WPF}_{n;r}$ denote the set of extended word parking functions with blank valleys having parameters $n$ and $r$. For such an object $\mathrm{PF}$, use the statistics $\mathrm{area}(\mathrm{PF})$, $\mathrm{dinv}(\mathrm{PF})$, $X^{\mathrm{PF}}$, $a_i(\mathrm{PF})$, and the set $\mathrm{Rise}(\mathrm{PF})$ defined in the paper. Let $\Delta'_{e_k}$ and $\Delta_{h_r}$ be the Delta operators associated with $e_k$ and $h_r$. Rise version of the Extended Delta Conjecture. For any positive integers $n$, $k$, and $r$ with $k<n$,

$$\Delta'_{e_k}\Delta_{h_r}e_n=\sum_{\mathrm{PF}\in\mathcal{WPF}_{n;r}}t^{\mathrm{area}(\mathrm{PF})}q^{\mathrm{dinv}(\mathrm{PF})}x^{\mathrm{PF}}\prod_{i\in\mathrm{Rise}(\mathrm{PF})}\left(1+\frac{z}{t^{a_i(\mathrm{PF})}}\right)\bigg|_{z^{n-k-1}}.$$

This is the rise analogue of the Extended Delta Conjecture, whose combinatorial side uses extended word parking functions with blank valleys. The source presents it as a conjecture of Haglund, Remmel and Wilson; no resolution status is supplied in the paper excerpt.