Categorical DT flop invariance at the zero wall

Let $P_n(X,\beta)_{\varepsilon}$ and $P_n(X,\beta)_{-\varepsilon}$ be the stable-pair moduli spaces for parameters on the two sides of the wall at $t_0=0$, with $0<\varepsilon\ll1$. Categorical DT zero-wall flop conjecture. There exists an equivalence

$$\mathcal{DT}^{\mathbb{C}^{\ast}}(P_n(X,\beta)_{\varepsilon})\simeq\mathcal{DT}^{\mathbb{C}^{\ast}}(P_n(X,\beta)_{-\varepsilon}).$$

The conjecture reflects the d-critical flop at the zero wall and predicts categorical DT invariance across it; the source does not give a resolution.