Not really. Rubio's parents were born in 1927 and 1931 in Cuba, however Cuba during that era, was a US Protectorate from 1901-1934 under the Platt Amendment.
It may not be a 'bingo there is the answer' but it does give a different legal foothold.
It’s certainly an interesting point. But I wonder if citizens of U. S. protectorates were ever free to migrate to any of the continental United States. They certainly weren’t permitted other citizenship privileges—like voting.
“Rubio’s parents were born in 1927 and 1931 in Cuba”
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Were they U.S. citizens when Marco was BORN? They were not, THAT is what is relevant.