The building realization conjecture

Let $F$ be a building, meaning a construction with connected and simply connected point space $F(p)$ satisfying the stated local and extension conditions, and let $A$ be the affine space serving as its model apartment.

Building realization conjecture. The topological space $F(p)$ has a natural structure of an $\mathbb{R}$-building modeled on the affine space $A$.

This would identify the sheaf-theoretic notion of building with the usual geometric notion. The source gives no resolution of the claim.