No, the keypad available characters for JP/KO/ZH has the fullwidth (\u2640) instead of the half-width custom character (\uE08F), using ♀ as an example.
For the latin based languages the half-width character is... more visibly pleasing than the larger full-width.
PKHeX operated under the assumption that the full-width was only used in the game story text files and that Nicknames/OTs could only use the half-width; guess that's not true (PKHeX is mainly developed by people who play in English, hence why it wasn't noticed).