Final answer:
The correct statement is that there's a correlation between the degree of individualism in a culture and the uniqueness of children's names, signifying the importance of distinct identities.
Step-by-step explanation:
One true statement about growing individualism within cultures is: The more individualistic the time or the place, the more children receive unique names. This statement reflects a trend where personal identity is valued and parents aim to emphasize their child's distinctiveness through the use of unique names. It is indicative of the increasing focus on individual traits and the importance of personal expression prevalent in societies with individualistic values.