China was certainly doing colonialism in the past. The Chinese people of Taiwan province are settler colonists, definitively. But the idea of China using Chinese names for places that China had Chinese names for alongside the contemporary names for those places is very different.

However, to address your point directly, unlike China, the entirety of the United States of America is literally a settler colony. Its own Supreme Court, with the majority opinion written by Ruth Bader Ginsberg, has established that the entire legal basis for the USA rests on the Doctrine of Discovery. The Chinese situation, complete with the long history of wars, dynasties, assimilation, genocides, etc is more comparable to the Holy Roman Empire in Europe than to the USA.

So while you may want to do a both-sides false equivalency, there is no factual nor historical nor political basis for that equivalency.