The scholars, artists, and philosophers all seem to be flying Starships.
With the technology they have, what 'housework' remains to be done, other than rearing children? There are no dishes to clean, because replicators vaporize them, and they produce the food. I wouldn't be surprised if children were largely raised by the state in 24th-century Earth, with children sent to nurseries and daycares shortly after birth. Parents would spend their days at work and children at school, presumably. I imagine most families consisted of one child, at least on Earth. In that case, "family" doesn't mean much: do it for a generation or two, and there are no cousins nor siblings for many, so the familial experience is just...sleeping in the same house as your parent(s).