This is a 20th century view of warfare that is supremely outdated. One thing to keep in mind is that there's been a radical change in the technology of warfare over the last ~15 years or so, and counting battleships and battalions isn't sufficient for gauging what "works" anymore.

>Troop transport capacities are manageable with the right guns and logistical lines.

I actually laughed. I guess we didn't have the "right guns" in Afghanistan.

>Add to that the international waters separating Taiwan and China, and an invasion can be rendered untenable.

And what happens when they call our bluff? We sink a transport ship? WWIII, that's what happens.