Earlier quoted context omitted.
Invading Taiwan will never be an economically rational action. If it happens, it will be because of internal politics, personal/national myth-making etc. Taiwan is ridiculously favourable terrain for the defenders; if they fight back, there can't be quick victory, and the US will be able to play merry hell with China's naval logistics from day 1 (obviously with escalating levels of firepower available over time as mo…
No need to go on the island to win. Just encircle it. A blockade. Always works and this has been the modus operandi to conquer fortresses and castles for millenia.
For the PRCs invasion of Taiwan to work with minimal risk of excessive losses, they need to do it very quickly so that it's a fait accompli, minimizing the chance of any American response at all.