Partial name search in "ideographic" locale

I'm building a UI that includes search by person's name, for locales where majority of names are spelt with kanji or hànzì.

Search in Latin script often features live partial search and sometimes approximate search. I suspect that's due to names being long sequences of simple characters.

I wonder if same expectation holds for users in the locales where names are expressed as short sequences of complex characters.

Do the Japanese users expect partial match from phonetic typing before a character is formed? Do the Chinese users?

Is there an equivalent UI/UX paradigm in these locales?