Regular CW complex conjecture for the positive orthogonal Grassmannian

Let $\operatorname{OG}_{\ge0}(n,2n)$ be the positive orthogonal Grassmannian, with cell decomposition

$$\operatorname{OG}_{\ge0}(n,2n)=\bigsqcup_{\tau}\left(\Pi^{>0}_\tau\cap \operatorname{OG}_{\ge0}(n,2n)\right),$$

where the cells are indexed by matchings $\tau$ on $[2n]$, and the cell indexed by $\tau$ is homeomorphic to $\mathbb{R}^{\operatorname{xing}(\tau)}$. Regular CW complex conjecture. The cell decomposition gives a regular CW complex structure on $\operatorname{OG}_{\ge0}(n,2n)$. Equivalently, the closure of each cell $\Pi^{>0}_\tau\cap \operatorname{OG}_{\ge0}(n,2n)$, as described by the closure relations, is homeomorphic to a closed $\operatorname{xing}(\tau)$-dimensional ball. This conjecture concerns the topology of the cell closures and is presented as analogous to a conjecture on positroid cell closures; the source does not state whether it has been resolved.