Equivariance implies admissibility for groupoid Busby homomorphisms

Let $G$ be a second countable groupoid, $(A,\alpha)$ and $(I,\gamma)$ be separable, $G$-$C^*$-algebras, and let $\mu\colon A\to\mathcal{Q}(I)$ be a $*$-homomorphism.

Equivariance-implies-admissibility conjecture. If $\mu$ is $G$-equivariant, then $\mu$ is $G$-admissible.

For locally compact, Hausdorff, second countable groups, the corresponding equivalence between $G$-admissibility and $G$-equivariance is established in the preceding corollary. The conjecture asks whether the converse implication remains valid for general second countable groupoids.