Bryant–Ferry–Mio–Weinberger homogeneity conjecture

Let $X$ be a generalized $n$-manifold with $n\geq 7$ satisfying the disjoint disks property. Bryant–Ferry–Mio–Weinberger conjecture. The space $X$ is homogeneous. If true, this would contradict the Bing–Borsuk conjecture in dimensions $n\geq 7$, because such spaces are known to be non-resolvable. The source does not report a resolution of this conjecture.