Not actually, Aksai Chin has critical resources and good location to further capture regions around.
Aksai Chin is also important as a doorway into Tibet. China values Tibet so much thought it isn't a Han state as it acts as a buffer state against India. During the Boxer Rebellion and the Opium Wars, the British in India used Tibet to fuck China in the ass, and thus, Mao believed that Tibet, along with the "Five Fingers" of Ladakh, Nepal, Sikkim, Bhutan and Arunachal Pradesh(what they call South Tibet), must be firmly under Communist control to prevent Indian pre-emptive attacks. This is the same reason that China is willing to pay a steep price in Xinjiang and Tibet, but will never let go of these territories, solely to act as a buffer state against India and Russia.
The logical next steps in this Chinese expansion are Siberia and Kazakhstan/Tajikistan. Siberia will fall into Chinese control by the 2050's, with Kazakhstan falling sooner. The only thing the Chinese need to do is maintain internal stability and become self-dependent, for that is what they fear the most. China mass produces almost everything on the planet, but they are not self-reliant in several critical technologies, due to which, Xi is pushing ahead with the China Standards 2035, to push ahead with tech self-reliance.