This is not just an Asian thing, Hungarians put their family name first (another reason not to call it a "last name").

Not to forget the special case that people may only have one name (for which some immigration offices had to invent the rule to repeat the single name twice, as first and last name, to comply with online and offline forms that have these often mandatory fields). So we may add two patterns to your pattern list:

  Only, Only
  Only

Localization is tricky, not just for names, e.g. postcodes (GB) and zip codes (US) come after the city ("London SW4 0AF", "Beverly Hill, CA 90210"), in many other places before (e.g. FR, DE, e.g. "91054 Erlangen").