No, if the case presents an issue that they think the Supreme Court will take, the slick lawyers will call when the case gets decided in the lower court, saying "are you going to appeal to the Supreme Court? We want to help." That they didn't do that in any of the Natural Born Citizen cases means that they didn't see any likelihood that any of them would be accepted by the Court.
That’s crazy. The case should be accepted on merit not if you can get a lawfirm who has argued in front of the Supreme Court.