The motivic polynomiality conjecture for cusp punctual quotient schemes

Let $(X,p)$ be the cusp singularity $x^2=y^3$, and let $\operatorname{Quot}_{d,n}(X,p)$ be its punctual quotient scheme. The motivic polynomiality conjecture. The motive of $\operatorname{Quot}_{d,n}(X,p)$ is a polynomial in $\mathbb{L}$.

This is a weaker consequence of the exact cusp formula conjecture: it predicts polynomial motives without specifying the coefficients. It would in particular imply that the corresponding punctual quotient schemes admit motivic classes expressed polynomially in the Lefschetz class.