That doesn’t answer the question though
Did the founders insist born on US territory to at least one or even two citizen parents ?
I can only tell you this. The First Congress in 1790 passed the first Naturalization Act which defined a natural born citizen to include the progeny of one citizen born outside the borders of the US. Article III courts place enormous reliance on the First Congress and British Common Law in interpreting original intent wher the Constitution is not clearly definitive and for good reason. Many of the founders were in the First Congress.
Vattel was a Swiss philosopher who never stepped foot in the US and despite what some may say his Law of Nations treatise does not bind us in any way. Nor should it.
The Supreme Law of this land is the Constitution, the laws of Congress and the Treaties ratified by Congress and signed by the POTUS.
So if Cruz was natural born in 1790 he is natural born today no matter what philosopher kings have written.
But that is jmo.