Female Trainer's Flavor Tasting Guide

After traveling to the Pokémon world, Zi Yu immediately bought a time machine that can travel through time randomly, plus a Mew and a Flutterwing.
Using this time machine, he can constantly jump to different timelines and reach places that humans cannot go to steal Pokémon.
Having said that, isn't there something a little off about what was 'captured' in the end?
Qishu, Lilia, Mary, Sirona, Mingyi...
Got it, this wave is to complete the female trainer's illustrated handbook.