Property-T removal conjecture for the adelic cohomological dual

Let $k$ be a number field and let $\mathbf{G}$ be a connected, simply connected almost simple $k$-group. Theorem~ and Corollary~ assume that every local group $\mathbf{G}(k_s)$ has property T. Local property-T removal conjecture. That assumption could be removed. This would extend the adelic description of the cohomological unitary dual and the associated cohomology conclusions beyond the case in which all local groups have property T; the source gives no resolution.