IIRC this is actually the main purpose of one of these, they run slightly warmer to keep fermentation going while still being cold enough to preserve. Traditonal kimchi was stored underground so maybe a temp close to those conditions.
Not really, the advertised temperatures of most brands' kimchi fridges[1] are -1°C (with lower -0.5°C band of stability as well), which is supposed to be mimicking "buried outside in Korean winters" condition.