These are issues everywhere, including Nebraska. I have a friend whose kids went to Kearney Catholic. I was always raz him about KC recruiting athletes in Kearney. He claims they didn't. If they didn't, it sure as hell looks like it from the outside. I was around volleyball quite a bit with my oldest daughter growing up. I witnessed their really good teams being put together that won championships a few years ago.
Skutt in Omaha is another one.
I'm all for having different classification requirements for private schools. Just coming up with something that's fair and accomplishes what you want is difficult.