I'm not sure it's really about 'exploring' in a deep social-theory way? A lot of these books are power fantasy with a side of obsessive romance. The power struggle often just sets up why the male lead is the most ruthless, capable, and therefore 'safe' provider in a lawless world. It's less a nuanced look at organizational dynamics and more about establishing dominance hierarchies that the heroine eventually tops by winning his heart. The actual mechanics of the crime family—territory disputes, internal betrayals—are usually just a backdrop for danger and possessiveness tropes. I've read a few that try to be grittier, like the heroine gets pulled into laundering or has to navigate council meetings, but they're exceptions.
That said, the tension between old-school loyalty and modern ambition is a common thread. The young underboss challenging the don, or a rival family using tech to undermine traditional methods. It creates instant conflict. But the resolution is almost always violent consolidation of power, not a sustainable reform. Which, fair, it's mafia fiction, not a business case study. The appeal is in the rawness of that power, not its responsible application.