DaasYochid – There are many issues with the NY get law.
The guy can sign that there are no restrictions, if he believes that lack of a get is not a restriction and the Mesader is no longer alive to say otherwise.
In addition, she will have to pay the Kesubah if she acts under the NY law.
Finally, having the courts enforce a Get brings serious questions of Get Meusah, as the court is unable (legally) to enforce the actions of a Bais Din to provide a religious document.