Modified Delta square conjecture, valley version

Let $n,k$ be nonnegative integers, let $p_n$ be the power-sum symmetric function, $\omega$ the standard involution, and $\Theta_{e_k}$ and $\nabla$ the Theta and nabla operators. Let $\mathsf{LSQ}'(n)^{\bullet k}$ be the modified set of labelled valley-decorated square paths defined in the paper; for $\pi$ in this set, write $\mathsf{dinv}(\pi)$, $\mathsf{area}(\pi)$, and $x^\pi$ for its associated statistics and monomial weight.

Modified Delta square conjecture, valley version.

$$\Theta_{e_k} \nabla \omega(p_{n-k}) = \sum_{\pi \in \mathsf{LSQ}'(n)^{\bullet k}} q^{\mathsf{dinv}(\pi)} t^{\mathsf{area}(\pi)} x^\pi.$$

The paper describes this as a new formulation without a multiplicative correcting factor and says that it extends naturally to the generalised case. It remains open.