  We show that the statement ``In every separable pseudometric space there is a
maximal non-strictly \delta-separated set.'' implies the axiom of choice for
countable families of sets. This gives answers to a question of Dybowski and
G\'{o}rka in [M. Dybowski and P. G\'{o}rka, The axiom of choice in metric
measure spaces and maximal \delta-separated sets, Archive for Mathematical
Logic 62, 735-749, 2023.]. We also prove several related results.
