  In our previous paper, we constructed and studied a functorial extension of
the evaluation map $S^1 \times \mathcal{L}X \to X$ to transfers along finite
covers. In this paper, we show that this induces a natural evaluation map on
the full subcategory of the homotopy category of spectra consisting of
$p$-completed classifying spectra of finite groups. To do this, we leverage the
close relationship between this full subcategory and the Burnside category of
fusion systems.
