The Manifold Semistability Conjecture for universal covers

Let $M$ be a closed aspherical manifold of dimension greater than $1$, and let $\widetilde{M}$ denote its universal cover. A space is strongly connected at infinity when its end has the corresponding strong connectivity property. The Manifold Semistability Conjecture. The universal cover $\widetilde{M}$ is always strongly connected at infinity. This is presented as an open question concerning the uniqueness of proper homotopy classes of rays and fundamental groups at infinity; the source gives no resolution.