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Section 301 (b) of the INA of 1952 stipulated that someone born abroad to a US citizen parent could lose US citizenship unless he or she lived in the US at least five years between the ages of 14 and 28. Cruz would have satisfied this condition which, in any case, was subsequently struck down by the US Supreme Court. --
The link didn't work. What is the case that struck down citizenship retention? The Bellei case upheld a retention requirement. The retention rquirement when Bellei was born was 5 years before age 21.
Rogers v. Bellei, 401 U.S. 815 (1971)
Vance vs Terrazas 444 U.S. 252 (1980)
U.S. citizenship cannot be lost without the government proving intent to relinquish citizenship.