I love repeating myself in these threads. It's so fun. Political parties do not control territories. That's not how anything works. When Japan took Korea, it was not a party within Japan that took it. It was the nation state that took it. When Japan took Taiwan it was not a party within Japan that took Taiwan, it was the nation state that took it. When the US took Hawaii, Guam, Puerto Rico, etc same thing. You would never say that it was Democratic-Republicans that own the Louisiana Purchase even though they were in power when the purchase took place.
The nation state of China, with its competing factions, reclaimed the island of Taiwan by pushing out the Japanese. The retreating army of the KMT fled to the island as refuge and the British and American warships protected them, setting up the island and the party to be a fascist vassal of the North Atlantic imperial regime. At no time did the retreating army secede nor declare independence. It claimed that despite having lost the war and despite having lost popular support that it was still the rightful government of China. Never mind that it had to kill tens of thousands of Chinese citizens who disagreed. Never mind that it spent 40 years violently and brutally crushing all forms of dissent against its position. And never mind that the imperialists never stopped supporting the KMT with warships, intelligence, arms, foreign direct investment, and diplomacy despite it being about as legitimate of a government as Juan Guaido.
Saying that the island belongs to the KMT is a category error. Parties don't own territory. Nation states do. This is why the UN doesn't have separate delegations for Labor, Conservatives, Republicans, Democrats, Greens, AFD, etc.