This law only applies to the ethnic Chinese. A person with Italian ancestry applying for an Indonesian citizenship is allowed to keep his Italian name.

这条法律只对华人使用。一个祖先是意大利人的印尼人可以保留他的意大利名字而同时得到印尼公民身份。

youdao

Her father is of Chinese ethnicity (so she has a Chinese name), she has a law degree from the private Aoyama Gakuin University and has studied Mandarin in Beijing.

FORBES: When Japan's Leaders Have Ties To Other Nations