Its not a mere claim. They have been harping about A.P. being a part of Tibet and their claim is that Tibet is historically part of China so A.P. is China. It is important for them because it solidified their claim on Tibet. Heck we went on a war with them for this -- without any change of border of course. That should be a good indicator how important this piece of land for them. Chinese are very calculating. A.P. is very important to them but not important enough to fight a war, at least right now.
They took AKC back then because it paved a path to Tibet for an imminent attack on Tibet and capturing it.
A.P.? Not so much! It is more of a battle to rule hearts and minds of Tibetian by claiming all their monestories in Twang and all their land.
Bombasts are rich from your side as well -- 'Lavaange Lavaange Kaaashmeeeeeeeeeeer Poora Kashmir Lavange!
PAKISTAN KA KASHMIR Lavaange!'