Answering questions about what you're describing sounds really interesting. What would a training set be like that describes a bunch of complex human relationships and then asks questions about them with objective answers?
One difference, as in all ml training, is interactivity. Looking at ape studies, knowing the relationships is partly diagnostic, but it's also about planning and competition. And that competitive/adaptive aspect is what is what looks like a real evolutionary driver. If you can understand, navigate, and manipulate relationships successfully, you get more mating opportunities. Doing /that/ well involves both reasoning and long term planning, both of which are apparent in chimps.
A good book on this topic is 'are we smart enough to understand how smart animals are' by Frans de Waal.
https://wwnorton.com/books/Are-We-Smart-Enough-to-Know-How-S...