I actually don't think they want a war. They are preparing for a war, that's for sure, but to start one, with NATO? That's not a good idea. Time is China's friend at least for the next decade as you mentioned.
There isn't in the case of Ukraine either, but NATO has mostly stepped up anyway. Sure we are not putting troops on the ground (yet???) but NATO has provided a lot of support.
Countries like South Korea, Japan, Philippians, and Australia are likely to get scared if China does too much and send some form of help.