I was one of those who read many of the EU books up until the Yuzzhan Vong war, and the children of Leia had absolutely zero interest for me.

Characters should be written to serve a purpose in the story, and if the only distinguishing characteristic of the children is that their parent is Force Sensitive, well that's not good enough. It was good enough for the OT, but that's been done.

What hasn't been done is have non-Force sensitive children from Jedi parents. If the children of Leia were unable to become Jedi, that would be fertile ground for a new story that I could get behind, with deep implications as to the will and nature of the Force itself.