Commutative adapted measured quantum groupoid reconstruction conjecture

Let $(N,M,\alpha,\beta,\Gamma,\mu,T_L,T_R)$ be an adapted measured quantum groupoid, meaning a measured quantum groupoid with the stated adaptedness property, and suppose that $M$ is commutative. Then the commutative reconstruction conjecture. There exists a locally compact groupoid $G$ such that

$$(N,M,\alpha,\beta,\Gamma,\mu,T_L,T_R)\simeq (L^{\infty}(G^{\{0\}},\mu),L^{\infty}(G,\nu),\alpha,\beta,\Gamma_G,\mu,P_G,j_G\circ P_G\circ j_G).$$

This asserts that every adapted measured quantum groupoid with commutative von Neumann algebra $M$ arises from a locally compact groupoid. The supplied text gives no resolution status for the claim.