This question is inspired by this MO question; indeed it is a special case on which to focus.

An *exotic affine space* is an affine variety $V$ whose $\mathbb{C}$-points are diffeomorphic to $\mathbb{R}^{2n}$ yet $V$ is not algebraically isomorphic to $\mathbb{A}^n$.

Say that two varieties are *count equivalent* if they are both polynomial count varieties with the same counting polynomial.

As shown in the comments here, the Russell Cubic is count equivalent to $\mathbb{A}^3$ although it is not isomorphic to $\mathbb{A}^3$.

Question:Are all exotic affine spaces count equivalent to affine space?