Geometric realization conjecture for absolutely cuspidal quiver polynomials

Let $Q$ be a quiver, let $\mathbf{d}$ be a dimension vector, let $C_{Q,\mathbf{d}}^{\mathrm{abs}}(t)$ be the absolutely cuspidal polynomial, and let $\mathbf{k}$ be a finite field. Geometric realization conjecture. For any $Q,\mathbf{d}$ there exists a natural algebraic variety $\mathcal{C}_{Q,\mathbf{d}}$ defined over $\mathbb{Z}$ such that, for every finite field $\mathbf{k}$,

$$C_{Q,\mathbf{d}}^{\mathrm{abs}}(\#\mathbf{k})=\#\mathcal{C}_{Q,\mathbf{d}}(\mathbf{k}).$$

This would give a geometric interpretation of the absolutely cuspidal polynomials and is presented as a conjectural quiver analogue of a conjecture of Kontsevich and Deligne; no resolution is supplied.