Admittedly, you can’t see this from any lens other than your own, and I probably can’t because I’ve never gone through a divorce. But if you read the wording again, it does not say he GIVES $10,000 a month to her, it says he “pays” it. She has no income and no access to money so even if she was living in a $50,000 mansion, if he is paying that mortgage instead of giving her the cash, she still doesn’t have money to feed and clothe her children.
It’s tough to focus on your career with 5 kids and pa out of town all the time.