He was a little kid ~ his direct memories may well be unclear when it comes to time but the Post provided information regarding where his parents were, and they were there before Castro and after Castro. They were also in the US before Castro and after Castro.
Remember, Batista ~ plenty of people fled the Batista regime. That didn't mean they were Castro's favorites.
The Washington Post writers failed to support their initial arguments.
Seems like a smart native born citizen like Rubio would have a more accurate understanding of his family history.