The State cannot determine the NBC requirement.
What distinguishes citizenship from the other qualifications? If the question is one of federal qualifications, what gives the state the right to judge the qualification?
Cruz's argument is that federal qualifying factors are off limits to ALL courts, period. Courts lack jurisdiction, and the issue isn't ripe until after the general election.
Your argument was the same, state courts have no business in federal requirements.
I don't think one can make a consistent and logical argument, using the criteria of state v. federal, and justify judging some federal requirements but not others.