Power-residue density conjecture for motivic Galois representations

Let $\rho:\operatorname{Gal}(\overline{\mathbf{Q}}/\mathbf{Q})\to\operatorname{GL}_n\mathbf{Q}_\ell$ be a motivic Galois representation, and let $\delta_m(\rho)$ be the density ratio defined using the traces $a_p(\rho)=\operatorname{tr}\rho(\operatorname{Frob}_p)$ for an integer $m\geq 2$. Ramakrishna's power-residue density conjecture. If the image of $\rho$ is open, then

$$\delta_m(\rho)=\frac{1}{m}.$$

This extends the modular-form prediction to motivic representations with open image. It is stated jointly with Ramakrishna, and the source gives no evidence of a resolution.