Oliver's Schur multiplier conjecture for saturated fusion systems

Let $\mathcal F$ be a saturated fusion system and let $\mathcal L$ be its associated centric linking system. The Schur multiplier of $\mathcal F$ is the group associated to the kernel of the canonical morphism $\mu_{\mathcal L}$, and $\ker(\mu_{\mathcal L})$ denotes that kernel.

Oliver's Schur multiplier conjecture. $\ker(\mu_{\mathcal L})$ is isomorphic to a subgroup of the Schur multiplier of $\mathcal F$.

This extends an open question of Oliver asking whether $\mu_{\mathcal L}$ is injective for fusion systems arising from finite $2$-perfect groups whose Schur multiplier has odd order. The source presents the assertion as an open question related to the paper's results.