Oh yes...they want it badly. But the Taiwanese are used to freedom and will fight very hard. It is likely that a lot of the factories and many of the negineeres will be destroyed short of us coming to their assistance...which I believe we shall.
I don't think you give the ChiComs enough credit for being able to take over Taiwan peacefully enough to preserve intact Taiwan's hi tech miracle and it's worker bees. China could use a combination of suborning some of Taiwan's master's of industry who have large Mainland investments, plus a coup de tete, plus a few well placed demonstration missile launchings to destroy some hi tech factories to force Taiwan to cave in. If I were China I would try this first.
AKA skillful means