Ted Cruz was never naturalized. Under the conditions of his birth, he was a US citizen, natural born citizen.
Based on what?
A natural born citizen is a person born on U. S. territory of two U. S. citizen parents.
Barack Obama’s father was not ever an American citizen. Cruz was not born on U. S. territory.
He was naturalized in 1934 (en masse, and prior to the fact of his birth) when Congress, using it's power of Naturalization, created a law that thereafter "naturalized" all children born to American women who met the age and residency requirements specified in the law.
If your mother didn't meet the age and residency requirements specified, you didn't GET the citizenship.
Does this sound like "natural" citizenship to you?