Motivic hyper-Kähler resolution conjecture

Let $M$ be a smooth projective holomorphic symplectic variety endowed with a faithful symplectic action of a finite group $G$. Let $X:=M/G$ be the quotient, and suppose that $X$ has a crepant resolution $Y\to X$. Let $\operatorname{CHM}_{\mathbf C}$ denote the category of complex Chow motives, and write $\mathfrak h(Y)$ and $\mathfrak h_{orb}([M/G])$ for the ordinary and orbifold Chow motives. Motivic hyper-Kähler resolution conjecture. There is an isomorphism of algebra objects in $\operatorname{CHM}_{\mathbf C}$:

$$\mathfrak h(Y)\simeq\mathfrak h_{orb}([M/G]).$$

In particular, there is an isomorphism of graded $\mathbf C$-algebras

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

The conjecture was proposed in the cited work and is proven for Hilbert schemes of abelian varieties, generalized Kummer varieties, and Hilbert schemes of K3 surfaces, so it is solved in the stated generality by the cited results.