This.Well, the Han Dynasty maps pretty well with the Roman Empire time-wise in history. So consequently, I've always been favorable to analogizing Han Chinese with Roman citizen. With both terms, there's also a sense that they're distinguishing the civilized in-group from foreign barbarian hordes.
Perhaps a more modern comparison could be comparing Han Chinese to European, or "white"? China, Europe... they're melting pots, as long as you're close to the dominant phenotype. I mean, think about it, any East Asian looking individual who grew up in China could probably say he's Han Chinese and go unchallenged.
The closest analogy to modern China that the West has is if the Roman Empire survived and retained its Roman culture. Since this is definitely not the case today, you can see the envy that many, many, Americans, british etc have when it comes to China. You see it when a beanpole tom cotton insists that Chinese students must learn American works like Shakespeare (?!). You see it when they pathetically try to create a fake culture based on "aryan blonde romans" despite having such disdain for swarthy italians and greeks.
Even today, many western nations try to call themselves true heirs of the roman empire, the most pathetic i've seen were romanians who tried to equate dacians with true romanians, or modern americans who attempt to create an artificial state based on roman facades but built on a racial caste structure.
China's historic grand strategy is predominantly defensive, especially in accordance with Confucian principles which required sons to stay close to their parents so as to conduct funerary rites and to look after their parents; contrast this with the piratical culture of the anglosphere who like to think of themselves as individualistic adventurers, in reality sociopathic narcissists.