  In the present article, we formulate a conjectural uniform error term in the
Chebotarev-Sato-Tate distribution for abelian surfaces $\mathbb{Q}$-isogenous
to a product of not $\overline{\mathbb{Q}}$-isogenous non-CM-elliptic curves,
established by the author in \cite[Theorem 1.1]{Amri22}. As a consequence, we
provide a direct proof to the generalized Lang-Trotter conjecture recently
formulated and studied in \cite{Chen}.
