Given a smooth affine variety $X$ over $\mathbb C$ with an algebraic symplectic form $\omega$ and a finite group $G$ acting on $X$ by symplectomorphisms, then

1. Is it true that $X$ is trivially a symplectic singularity in the sense of Definition 2.1 in https://arxiv.org/pdf/math/0310186.pdf?

2. Is it true that the canonical projection $X\to X/G$ is a symplectic resolution of the symplectic singularity $X/G$?

3. If $X$ is trivially a symplectic singularity, are the connected components of the isotropy types $X_H$, $H\leq G$, a stratification satisfying the hypothesis in Theorem 2.3 in Kaledin's paper https://arxiv.org/pdf/math/0310186.pdf? In particular, does the product decomposition $(2.1)$ hold true?

Given a smooth affine variety $X$ over $\mathbb C$ with an algebraic symplectic form $\omega$ and a finite group $G$ acting on $X$ by symplectomorphisms, then

1. Is it true that $X$ is trivially a symplectic singularity in the sense of Definition 2.1 in Kaledin's paper Symplectic singularities from the Poisson point of view?

2. Is it true that the canonical projection $X\to X/G$ is a symplectic resolution of the symplectic singularity $X/G$?

3. If $X$ is trivially a symplectic singularity, are the connected components of the isotropy types $X_H$, $H\leq G$, a stratification satisfying the hypothesis in Theorem 2.3 in Kaledin's paper? In particular, does the product decomposition (2.1) hold true?