It doesn’t matter if the ethnic group writes it last first or first last.
If you’re filling in Chinese documentation and writing it in Chinese it will be a single field in Chinese.
If you’re writing it in English it will be written in 2 fields as first name and last name as the English version of the Chinese name.
The spoken English name of “alice” or “David” are not used on official documentation.
Name cards will sometimes have English names and sometimes they will put the English name with Chinese last name. But also write the Chinese name in Chinese.
I can’t believe how much people are over thinking this stuff.