Well, to be fair, that happens to basically every politician who gets elected in a democratic country xD
It's true, there's only ona China. China is China, Taiwan is Taiwan.
My more "serious" position on this is that China, for as long as the communist party is in charge, will never recognize Taiwan's indipendence. Part of it is for fear of losing face (political suicide of whoever makes that decision), and part of it to avoid other "provinces"* to make the same demand.
The current situation has Taiwan being the only real democracy in Asia, with no direct political influence from China and complete economical/political/social indipendence.
I know that Taiwanese would prefer to receive formal indipendence status, but che current situation from a practical point of view is not bad.
- = China considers Taiwan to be sort of a province, which is nonsense but there's no better term to use in this kind of discussion