Wormhole conjecture for KSBA moduli of surfaces

Let $(X\subset\mathcal{X})\to(0\in\mathbb{D})$ be a family of surfaces, and let $(X'\subset\mathcal{X}')\to(0\in\mathbb{D})$ be obtained from it by extremal P-resolution surgery. Assume that the MMP on the new family gives a KSBA replacement and requires only flips.

Wormhole conjecture. The MMP requires only flips and gives a minimal model. The KSBA replacement of $(X'\subset\mathcal{X}')\to(0\in\mathbb{D})$ lives on the same moduli space as the original $(X\subset\mathcal{X})\to(0\in\mathbb{D})$.

This conjecture asserts that the surgery produces a path, or “wormhole,” within the same moduli space when no divisorial contractions occur. The supplied text does not state a resolution, so its status remains open.