The colonized often do - the colonizers are the ones splitting and creating new families as quickly as possible in order to occupy more resources and grab a larger slice of the opportunities afforded by empire.

Perhaps but when I look into examples of corporate families they are almost always in a colonial context. Like you might be more likely to fragment if opportunities exist, and franchise out. But you still get the same stories of a family farm or workshop being owned and operated by multiple generations until the young ones get a tertiary opportunity to take on something else.