It is unreasonable. The lottery has written rules that you are not obliged to accept - but you can't claim the prize if you do not. The lottery is a business and the business depends on having the winner publicized. It's hardly reasonable to want to keep the prize while breaking the rules.
So now that she has major assets ($560 M in potential earnings), lets call her a business. Her business depends on her staying anonymous and collecting these earnings. It's hardly reasonable to deny the business that owns a $560M lottery ticket their money.
She has no assets because she didn't fulfill the requirements and rules of the competition. This is like supplying no work but demanding a payment anyways.