Strong-cycle formula for the Chow pushforward on smooth Artin stacks

Let $\pi\colon\mathcal {X}\to{\mathbf X}$ be a good moduli space map from a properly stable smooth Artin stack. Let $e_\mathcal {Z}$ be the generic stabilizer order of a strong cycle $\mathcal {Z}$. Strong-cycle pushforward formula. The pushforward map

$$\pi_*\colon A^*(\mathcal {X})_\mathbb{Q}\to A^*({\mathbf X})_\mathbb{Q}$$

defined in the cited theorem satisfies

$$\pi_*[\mathcal {Z}]=e_\mathcal {Z}^{-1}[\pi(\mathcal {Z})]$$

for every strong cycle $\mathcal {Z}$. The claim is known for strong zero-cycles and for smooth strong substacks, but remains conjectural for general strong cycles.