Benson's torus-generation conjecture for classifying-space cochains

Let $G$ be a compact Lie group and let $T$ be a maximal torus of $G$. Let $C^*BG$ and $C^*BT$ denote the cochain algebras of their classifying spaces, and let $\mathcal{D}^b(C^*BG)$ be the bounded derived category of $C^*BG$-modules.

Benson's torus-generation conjecture. The bounded derived category $\mathcal{D}^b(C^*BG)$ is generated by the module $C^*BT$.

This is the second generation conjecture considered in the paper, transported from the finite-group setting. The supplied text gives no resolution or status evidence beyond its presentation as a conjecture.