@twoinanddone it’s true the kid with the uncooperative NCP can get some Pell that the other kid can’t get. Both get the same loans (sub or not it isn’t more money during college).
So something like $5800 a year, max.
Beyond that, the situation is about the same - both kids need a guaranteed merit backup or affordable-at-full-price CC/regional that’s commutable. However, if the married family earns $60k or $100k and won’t pay but will do the forms, the kid will get more $ than the kid with the NCP who won’t pay or do the extra form.
I also agree with the points ucb made. I suspect it is far more common for NCPs to feel they can say no to paying or doing the forms at all, whether because of issues with the ex or distance from the kid. And any income goes a lot further in one household than it does in two.