Go back and read your original post I was responding to. Cruz’s “citizenship” status has never been adjudicated. You claim it has. Back your claim up with proof or concede.
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.