There is one upshot of having 3 offspring of Han and Leia - Each one can channel a unique mix of the parents’ personalities. One may be the cocksure hothead, one would be the diplomat, and one could be very different to the others in some way. Since everyone would have imagined their own version of Han and Leia’s kids, this would give them what they imagined, and something more.

I don’t remember much about the EU. I read a bunch of the books as a kid, up until I got bored in the Yuuzhan Vong war. The big problem with most of them is that they failed to translate the deep themes of the movies into novel form. Star Wars, at least in the OT, wasn’t a comic book with villains of the week with splashy superpowers. Nor was it military science fiction, despite the name. The biggest missing element in the books was that they forgot (or were never aware) that Star Wars was an epic myth about growing up in rural America. Here we have a Midwestern farm-boy forever on the frontier, forever wanting to be elsewhere. It’s about him fulfilling the old American dream of becoming a self-made man, even if the dream threatens to become a nightmare. It is about navigating the desolate wasteland that is American folklore, a strange mix of alien cultures and Eastern Mysticism wrapped in a Western religious epistemology. Finally, it is about embracing the new folklore of pulpy romance and swashbuckling adventure in the movies, and making of it something more than its schlocky origins.

If you manage to make a story that taps into these themes, or similar themes of the 21st century, it won’t much matter if the story is sufficiently integrated with the EU.