Given the circumstances you outline, I would have to agree. You make a compelling case.
However, those circumstances are quite some stretch from this girl and the 70,000 like her. There’s little reason to believe these children have ANY allegiance to China, or any of the people there. Quite the opposite, in fact.
All the scenarios you outline presuppose some interest in Chinese affairs. I maintain that interest is of no more consequence than that of Ted Cruz with regard to Canada.
Be that as it may, the point is academic...for now.
Consider that the “presupposed interest” can be that of the dual-national citizen or the country of birth.
Also, allegiance is not merely a state of mind. It has legal duties and obligations owed to a country by its citizens in return for the protections guaranteed by that country to its citizens.
So, the rule you desire would be that some naturalized citizens are eligible?