Generalized opposite-category Farrell–Jones conjecture for td-groups

Let $G$ be a td-group, let $\mathcal{B}$ be a Hecke category with $G$-support, and let $\mathcal{P}(\mathcal{B},G)$ be the set of primes belonging to $\mathcal{P}(G)$ but not to $\mathcal{P}(\mathcal{B})$. Let $\operatorname{Or}_{{\mathcal{C}\hspace{-1pt}\mathrm{op}}}(G)$ denote the relevant orbit category, and consider the ${\mathcal{C}\hspace{-1pt}\mathrm{op}}$-assembly map

$$\operatorname*{hocolim}_{G/U\in\operatorname{Or}_{{\mathcal{C}\hspace{-1pt}\mathrm{op}}}(G)}\mathbf{K}(\mathcal{B}[G/U])\longrightarrow \mathbf{K}(\mathcal{B}[G/G])\simeq\mathbf{K}(\mathcal{B}).$$

Generalized opposite-category Farrell–Jones conjecture. The td-group $G$ satisfies this conjecture if, for every Hecke category with $G$-support, the displayed ${\mathcal{C}\hspace{-1pt}\mathrm{op}}$-assembly map is a $\mathcal{P}(\mathcal{B},G)$-equivalence. The statement is presented as a version of the Farrell–Jones conjecture for Hecke categories and the excerpt gives no resolution status.