In more casual settings there is no servingspoon, and each person uses their own spoon to move food from the main dish to their personal plate or bowl.
And no, servingspoon is used only in the strictest settings with strangers or acquaintances, or when you want to look neat and polite, or in the more-well-mannered families.
Apply all that new technology to an ancient lexicon of good manners that precluded not only the preparation but the cutting of food at Chinese tables, rich or poor, and you have no need for any tableware beyond your chopsticks, a couple of serving pieces, and a slippery porcelain spoon for soup.