Tl;dw - Unlike China and Japan, medieval Korea followed an extreme school of Confucianism that emphasized hierarchy and age over practicality. After WW2, the South Korean ~~dictatorship~~ government used this tradition to cement their own power. The video argues that these have made South Korea an extremely hierarchical, and in particular, sexist, society. A video game's refusal to sexualize a female character for their (mostly male) audience was thus seen as an attack on the system. A female artist at the studio was accused of being a 'radical feminist', and either fired or resigned to appease fans.
Edit: As Denjin pointed out, it should be Ming Dynasty and not Tang Dynasty.
The Tang dynasty was from 618 to 907 AD. The 15th Century was pretty much the height of the Ming dynasty.
You're right. I will add a correction.