I'm in my own bubble community so it's hard to say whether it's true, what makes me question that is my own experience.
Here in NZ we don't really have a China Town, there are higher asian concentrations in certain neighborhoods but you tend to get those with various cultures.
My friends (and myself) that are east/south east asian do keep an Asian identity but we don't hold as strong of a nationality attachment to our original country. I was raised in NZ, our ways of life are better than probably most other nations out there.
This is not the same as our parents who did grew up in Asia but I think that's understandable.
My personal barrier to be considered as from NZ is not internal, it's external. When people see me, the first guess at nationality is not NZ/kiwi but Chinese. The first question is where am I from (country of origin). This is a major concern for me in the US because of appearances.
I'm not sure I can really square that with belonging to a nation truly, so what am I left to work with here?
Well I actually have an answer to that but that's a wider opinion about nationality in general.
Is that really the question? Framing it us vs them doesn't help either group. This is not a zero sum situation where you defect or don't.
But I don't think this question is worth considering because considering loyalty to country is like considering faithfulness to a religion. It doesn't put you on the right side of morality. People like me don't draw that line based on place of origin.
I would hope NZ would not take the same route that so many countries around the world are taking and take on identity politics. So far we seem to be doing on average better than that.