Homotopy conjecture for the residue map on motivic complexes

Let $X$ be a projective regular curve over an algebraically closed field $k$, and let $F=k(X)$. Let $\Gamma(F;n)$ and $\Gamma(k;n-1)$ be the weight-$n$ and weight-$(n-1)$ motivic complexes, and let

$${\rm Res}:\Gamma(F;n)\longrightarrow\Gamma(k;n-1)[-1]$$

be the residue homomorphism. Homotopy conjecture. The homomorphism ${\rm Res}$ is homotopic to zero. The claim is a conjectural structural property of the residue map; the supplied text does not state a resolution.