Motivic HyperKähler Resolution Conjecture for global quotients

Let $M$ be a smooth projective holomorphic symplectic variety equipped with a faithful action of a finite group $G$ by symplectic automorphisms of $M$. If $Y$ is a symplectic resolution of the quotient variety $M/G$, then the Motivic HyperKähler Resolution Conjecture. there is an isomorphism of commutative algebra objects in the category of Chow motives with complex coefficients,

$$\mathfrak h(Y)\simeq \mathfrak h_{\operatorname{orb}}([M/G])\quad\text{in }\operatorname{CHM}_{\mathbb C},$$

and, in particular, an isomorphism of graded $\mathbb C$-algebras

$$\operatorname{CH}^*(Y)_{\mathbb C}\simeq \operatorname{CH}^*_{\operatorname{orb}}([M/G])_{\mathbb C}.$$

This is the precise global-quotient form of the motivic resolution conjecture studied in the paper; the supplied source gives no resolution of it in general.