Nobody cares about that baloney because of any principle. They cared about it before because they thought it would be useful in an election. It wasn't.
The purpose of the provision is to ensure that a president has an important patriotic connection to the United States in the sense that he considers it his country, his home. Nobody is going to see Cruz as some sort of stranger to the United States whose primary loyalties are to some other country.
And, of course, there are some people who made some money by selling books and videos about the issue to the handful of people who felt that it was the only way to beat Obama.