Remember the Mongols or Manchu? You outnumbered them how many times?
And both times they were only successful because of internal Chinese weakness and corruption. And refresh my memory, did they assimilate the Chinese into their own culture, or where the assimilated into Chinese culture themselves?
If history has taught us anything, it is that there is no surely method of being assimilated into Chinese culture than to actually launch a successful invasion of all of China. So even if you win, you loose in the end.
I disagree with you because I think Korea can successfully wage a war of limited ambitions if it achieves to get out of the war through naval means for economic pressure. The big problem for Korea is ending the war.
The perception that China can send endless reserves forward would count if Korea wanted to conquer China, but that's clearly not the case. Remember, China was able to grab land from India and tried the same with the Soviets despite perceived imbalance of power and against India with a major logistic hindrance for resupplies. As daring as these were, daring and success aren't limited to China.
That's nonsense based on patently false information. China did not grab an inch of land after their war with India. The PLA pulled back of their own accord after sweeping all opposition in front of them. Had they wanted to, they could have penetrated far further into India, and held a huge chunk of that land, because the PLA stopped after taking all the defensible positions and when they reached the open and flat plains of northern India that offer no defensive advantages.
Something else you are completely disregarding is Chinese domestic sentiment. After the 'century of humiliation', it is almost ingrained in the Chinese national psyche that China will never again allow any territory to be taken from in by means of military force.
That is a matter of national principle, and if another country launched an armed invasion of any part of China, the sense of national outrage will be way beyond even that experienced by Americans after Pearl Harbor, and may even be stronger than what they felt after the 9/11 attacks.
That means that China will not, cannot even, stop until they had recovered every last square inch of land taken, and will probably inflict grave retribution on the offending nation.
I say that China's sense of national outrage would be more powerful than Pearl Harbor because the Americans stopped short of launching an invasion of the Japanese home islands because of the high projected casualty projections for doing so. But if someone invaded Chinese territory so blatantly, the PLA would be willing to pay the price for invading, and will do so out of principle to make sure the offending nation does not forget in a hurry the consequences of such naked aggression against China today.
You forget that the US receives much technology stuff for that imbalance from her allies on the Western Pacific rim and China wants to become a peer competitor in the electronic technology field among others. Sorry, just forget a Chinese military alliance of Eastern Asia, it would run counter to the interests of the rim states, but these will clearly want to also reap profits from China's growth (not sell out their economies).
It would only run counter to their national interests if they continue to treat China as the enemy. It is a very strange and unnatural state for China's neighbours to have China as their economic patron, but not rely on China as their security provider. Their national interests are suffering because their own national interests are pulling in polar opposite directions. But if they were to re-aline their national security interest with their economic interest, they will find that their overall national interest is improved.
It is just a hard transition to make because of decades of western propaganda and programming to make them peoples fear and mistrust China, and also because up to now, China has been too weak and too poor to be a good patron. All that is changing, and it may not be too long before China's neighours start to ask themselves just why exactly they want to be China's enemies when it is far safer and more beneficial to be China's friends.