However, "Taiwan is literally the Republic of China." is disingenuous considering that their government is not the one that sits in the United Nations.
I am from China mainland, having friends and colleagues from Taiwan. Don't want to see wars happen between PRC and ROC.
"China" is the name of a country. For historical reasons the "Republic of China" is one of the names of a different country, but having "China" in its name doesn't make it (a part of) China.
Most people call China "China" simply because China's current territory is closest to the China that existed before the Nationalist/Communist split. It's not a political statement. Two different countries needs two different names. Taiwan is for all intents and purposes a country but it can't declare itself one now because of military threat from China.
Yes, there are Taiwanese who want Taiwan to subjugate itself and become part of China. But all the young people I have talked to, excluding blindly patriotic Chinese, see Taiwan as Taiwan and China as China-- as two separate countries with their own economies, histories, cultures, and languages.
Taiwan is literally the Republic of China. The leadership is descended from the same people who overcame the Japanese. Pretending the Communist Party has a monopoly on the word 'China' is uninformed and unreasonable.
Off topic, a better compromise would have been Hong Kong, inside the PRC with some degree of democracy, though less than originally promised in 1997.