It's a bit weird if you're identifying as X but were born and raised in Y. Cristian Volpato is Aussie: born in Australia, raised in Australia, but of Italian descent. Liam Chipperfield is Swiss: born in Switzerland, raised in Switzerland, but of Australian descent.
People should be proud of their background, absolutely, but never forget where you were born and raised. I am an Aussie: born here, raised here, lived all but four years of my life here. But I'm not Indigenous, and therefore am of migrant background (everyone bar people in remote Indigenous communities has at least some foreign descent). I'm proud of my "nashos", but first and foremost I'm an Aussie.
Same logic here, I can't just go to say, China or India, claim to be Chinese or Indian and demand to be treated like a local. That could even be considered racist.