If it hasn't been, then he is an alien. I have seen no evidence that his claim to US citizenship has been adjudicated. My remark is that if he has US citizenship, it is via an adjudicatory process, and that Cruz is a naturalized citizen of the US.
See 7 FAM 1441.1(f)(6) (State Department Manual) for use of the word "adjudication" in the context of application for a CRBA.
The subject of the entire thread is whether or not Cruz is a natural born citizen. What is your answer? Yes or no? The truth is you cannot have an answer because what the term natural born citizen means has never been adjudicated.
None of your posts in this thread go to this issue.