When I reflect on it I don't think it means anything. As I've said many times, every country decides who its citizens are.
Xi Jingping could make you a Chinese citizen tomorrow. Would that change your allegiance or impact your ability to command US troops?
I've yet to hear why being a dual citizen by accident of birth would have any impact on someone's loyalty.
History is full of the marriages among the royal families of Europe for the simple reason that people are reluctant to make war on their mother's nephews.
And to refer to the nationality of one's parents as an "accident of birth" sounds vaguely reminiscent of "it takes a village". Parents instill values in their children.