Some remarks on the reduction map for Drinfeld modules

In the paper by W. Bondarewicz and the author [Acta Arith. 195 (2020)] a sufficient condition for the local to global principle for Anderson ${\bf t}$-modules that are products $\widehat \varphi =\phi _{1}^{e_{1}}\times \dots \times \phi _{t}^{e_{t}}$ of