Generic isomorphism conjecture for the motivic multiple zeta value quotient

Let $C_{u,1-u}$ be the zinbiel sub-algebra parametrized by $u$, and let $\Pi:C_{u,1-u}\to\mathsf{A}_{\mathsf{MZV}}$ be the corresponding morphism of commutative algebras. Generic isomorphism conjecture. The morphism $\Pi$ is generically an isomorphism of commutative algebras. If true, this would provide a parametrized source of bases and a bigrading for the algebra of motivic multiple zeta values; however, the source states that no non-singular value of $u$ is currently known.