The problem with Taiwanese youth is that no one wants to join the army.
The latest poll shows over 60% of Taiwanese believe US will come to save them and over 65% of youth refuse to serve military.
So, one of major expectation in Taiwanese (not Mainland) is they will surrender if their airforce and navy lost.
In fact, no one in Taiwan is planning to fight to last standing soldier.
Basically, it won't be an extended war.
Funny thing about war is that no one knows what happens after the first shot is fired.
Even Afghans with house made weapons fought US allies to a stand still.
In Kashmir, bunch of Half bananas have been fighting us for decades.
While I give in to what you said, it does not need full population to fight.
All it needs is dedicated few to really hurt the invasion forces on the ground.
And to top it, China has bigger problems with their own populations dedication to their own cause.
Last but not the least, any war to be sustainable needs certain level of backing from major powers in the world.
Even if the west does not come to the rescue of Taiwan, the economic sanctions due to compulsions would basically set back China by decades.
This is even before China knows the outcome of whether or not they can capture Taiwan.
To top it all, imagine if Taiwan manages to bomb Beijing or some other critical city sitting on the east coast.
Unless we are to assume Taiwan's military is pathetic and would not be able to get even bomb across to hit China.
The whole capture thing boils down to how China can put boots on ground in Taiwan. Unless they get around that issue, Taiwan is not happening for Chinks.