Cohomological rigidity conjecture for Lie algebroids with proper integrations

Let $A$ be a Lie algebroid that admits a proper integrating groupoid $\mathcal{G}$ whose $s$-fibers are $2$-simply connected. Cohomological rigidity conjecture. Then

$$H_{\operatorname{def}}^{2}(A)=0.$$

This conjecture proposes a cohomological analogue of rigidity results for compact Lie groups, with proper Lie groupoids playing the role of compact groups. The source does not state whether the conjecture has been resolved.