So there is a lot of rhetoric and strategic fuzziness in public statements but the US are not starting WWIII over Taiwan.
> US would be forced to aid Taiwan against China much like it has been doing with the Ukraine against Russia
Of course they would aid Taiwan and they do now. This is not the same at all.
So - the US can't be seen as doing nothing because that has disastrous consequences. At the same time, as you point out, the US can't go all-out in defense of Taiwan for fear of igniting widespread conflict. The US needs to be very careful in how it responds.
Good thing this administration is renowned for subtlety and nuance! :)