The topological structure conjecture for constructions

Let $A$ be the affine space used as the model apartment, let $F$ be a construction, and let $F(p)$ be its underlying topological space of points, where $p$ ranges over points of $A$. A construction is a finitely related sheaf on the site of enclosures.

Topological structure conjecture. The topological space $F(p)$ is Hausdorff and is a CW-complex.

This asserts basic topological regularity for the sheaf-theoretic constructions used to model buildings. The source gives no resolution of the claim.