Why are people still think that US will win a conventional war with China? Last I recalled that PVA (People's Voluntee Army) without tanks, heavy artillery, airforce and navy, pushed the US army to the longest retreat in the history of US military.
The moment US army or navy suffer a heavy casualty in a battle with China over Taiwan, you can bet that there will be anti-war protests all over USA. Ordinary US citizens would not want to sacrfice their lives and lives of their families and friends to fight a war to protect an island populated by mainly ethnic Han Chinese under ROC from a civil war. They won't want to die for a war that will be 100 times worst than Vietnam war.
US adminstration may be comitted to protect ROC but the ordinary US citizens might think otherwise. I can even bet that majority of Americans don't even know where on Earth is Taiwan located.
People often like to cite the Korean war and the PVA in relation to how a modern China-US conflict over Taiwan may unfold, whether in terms of resolve or outcome, and I repeatedly want people to carefully examine the geopolitical drivers, perceived threats, perceived interests and rules of engagement of all parties (but specifically the US) in both the Korean war against the PVA and how a modern China-US conflict over Taiwan may go.
I strongly recommend everyone to not view US resolve as something that would simply dissolve if the PLA inflicted some casualties against the US military, but rather to be more prudent and view US resolve as something that would harden and become more bloodthirsty instead.
Regardless of which nation or which military on earth you are, if your strategic doctrine relies on the enemy's resolve being weak without yourself having the plans and capability to materially defeat the enemy's warfighting capabilities, then you will always be at the whims and mercy of an adversary's popular sentiment.