The Suzaku is one of the Four Spirits of Taoism, as well as the green dragon, the white tiger, the Suzaku, and the Black Tortoise, which represents the south.
In ancient history, ordinary people would not give this name because the nobles were superstitious and would not offend the gods; ordinary people chose names because they wanted to survive, so they usually gave them nicknames in the hope that monsters and ghosts would not disturb them.
So Suzaku is generally only used as a title and nickname, and no one will use it as a name. China has such a long history, there should be a few people who use Zhuque as their nickname, but as for their names, I guess there are none.