Crepant resolution conjecture for foldings of ADE resolutions

Let $\mathcal{R}$ be an ADE root system, let $\mathcal{R}^{\mathrm{fold}}$ be its folding, and let $\mathcal{X}_{\mathcal{R}^{\mathrm{fold}}}$ be the corresponding orbifold with crepant resolution $Z_{\mathcal{R}^{\rm res}}$. After analytic continuation and the affine change of variables defined by the affine identification $\Phi$, the crepant resolution conjecture. There is an isomorphism

$$\mathrm{QH}_{\mathbb{C}^\times}^*\bigl(Z_{\mathcal{R}^{\rm res}}\bigr)\cong \mathrm{QH}^*_{\mathrm{orb},\mathbb{C}^\times}\bigl(\mathcal{X}_{\mathcal{R}^{\mathrm{fold}}}\bigr).$$

This is the proposed comparison between the quantum cohomology of the crepant resolution and the orbifold quantum cohomology of the folded quotient stack; the paper presents supporting evidence, but does not establish the full isomorphism.