Don’t get me wrong, I support the cause of Taiwanese independence, but facts are facts. I also think that the Basque Country should be independent, and yet it would be factually incorrect to claim that it’s a country.
If you define "country" as being an entity recognised as a country by some percentage of other countries, then sure, you'd exclude Taiwan. But Wikipedia worked out pretty quickly that this is a terrible definition when a thousand microstates all recognised each other but didn't recognise any "actual countries", and then claimed that Belgium no longer existed. So instead they use a policy of "does this geopolitical entity operate in the way that humans typically understand countries to operate". Taiwan passes that check.
That being said, I imagine that if for the US the issue is so important as to repeatedly send their warships all the way to the South China Sea for it, trying to exercise some influence over the content of a wiki page would be quite a low-hanging fruit in comparison.