Justice: the most righteous faction
Orthodox: second to the righteous faction
Righteous: consist of all factions that lean to the right
Unorthodox: can lean both left and right and consider a third faction, distinguish from both righteous and evil sects
Evil sects: consist of all faction that lean to the left
Demon sects: the most evil faction
For politic, the justice faction consider strength through bond and alliance while the evil sect consider strength have to be earn (or even killing people to dominate it).
Therefore, in evil sect, the righteous faction is considered as hypocrite. And as for the righteous faction, the evil sect is considered as selfish and lust for power.
In Korean history, there were Chinese officers who ran off Qin Shi Huang when they failed to get the youth pills for the king back then. Since then Korean culture has been influenced by Chinese culture.
Whenever a manhwa has Mount Hua faction, the world setting considered as the Chinese Murim world since there is Mount Hua in real world, located at near the city of Huayin in Shaanxi Province.