Much better option is some sort of economic war, sanctions, naval blockade... US is importing a lot from China, even factories in Mexico are just assembling Chinese parts.
I do not think support for Taiwan would survive for very long.
They may look pointless to _you_ at the _present_ time. Hindsight is a wonderful thing.
China’s navy is capable of disrupting things around China, and could prevent exports from Taiwan from reaching other countries. The US Navy is capable of disrupting things everywhere, and could prevent ships carrying food and oil from reaching China.
> I do not think support for Taiwan would survive for very long.
I don’t know how to predict that, but the US would tangibly be giving up a lot by letting Taiwan fall. That alone is motivation that might have seemed somewhat lacking when comparing a confrontation with China over Taiwan with some of the other conflicts the US has recently taken part in.