The "Eastern order" of last names (i.e. Surname Forename) is used in many countries and cultures. When writing the name of someone whose name would be in Eastern order in their culture, what is the rule? Should I "convert" the name to "Western order" (i.e. Forename Surname) or leave it as is?
I ask because I am very, very confused by common practice. For example, the leader of China appears to be universally referred to as Xi (Surname) Jinping (Forename), but the leader of Japan is almost universally referred to as Shinzo (Forename) Abe (Surname). Similarly, I see the press refer to the leader of South Korea as Moon (Surname) Jae-in (Forename), but the leader of Hungary as Viktor (Forename) Orbán (Surname).
Are there different rules for different countries? If so, what are the specific rules for each of the many countries and cultures that use Eastern name order? What is the best practice in writing?