That is not true. One of the best references to the original understanding and intent of "natural born citizen" is the 1790 Naturalization Act passed by many of the same people who were involved in ratifying the Constitution three years earlier.
"...the children of citizens of the United States that may be born beyond Sea, or out of the limits of the United States, shall be considered as natural born Citizens..."
This is a confirmation that the original understanding of "natural born citizen" included one who is born outside of the U.S. may in fact be a natural born citizen.
Even with that law which was repealed and rewritten in 1795 by "the father of the constitution" James Madison so as to replace shall be considered natural born citizen with shall be considered a citizen, Cruz still would not have even been considered a citizen of the USA. In 1790 citizenship was derived by the husband/father. If an American woman married a Cuban she became a citizen of Cuba. The child of a Cuban father was a Cuban citizen. It was the Naturalization Act of 1934 which granted women the ability to pass her citizenship to her child. So if we go with original intent, your argument does not work.
If a Naturalization Act makes you a citizen, you are by definition, a naturalized citizen. Ted Cruz is a naturalized citizen, not a natural born citizen.
NOTE, Trumpsters - it says "SHALL be..."
and Trump and the media lackeys know this - so do most of you...but you will follow your Mutt (Svengali/Pied Piper/carney huckster) right over the cliff - taking what's left of our country with it.
Once you get into his reign, you'll wake up - like many of the obaministas did. But it will be too late - for YOU, for US and for our kids and grandkids.