This may be your opinion, but I'm not sure it implies a clear general rule that you could even hope to have people accept.
I'm sure a lot of people from the UK would pedantically insist on the multiple nations point, based on my past experience on the internet. On the other hand, in the US, people declare it to be "one nation..." and so saying it is not a nation suggests that the determination is made more from an outside vantage point than a traditional American one.
The Wikipedia page on Taiwan has some information on how people there view themselves. It seems that basically, people may be largely divided between those who came from mainland China after WWII, those who came in earlier waves of immigration, like the 19th century, and "aborigines" who came much longer ago (but it seems there were people from China on the island even before them) These may not seem like large differences, but it seems like they are tied up with the overarching question of the status of the ROC as being separate from China or not, of whether people are Chinese, Taiwanese, or both. And the question remains, do people determine for themselves if they are a nation, or do outsiders do it "objectively"?
A definition can be stated without it being practical to use.