It depends, Vietnam is deterred enough for now. Philippines appears to be playing neutral instead of partnering with USA to contain China.
Right now US strategy is to diplomatically isolate China in SE Asia, but if this fails, it might go ahead and instigate conflict on its own.
Say for example a CVBG shows up in China's EEZ to do military exercises. China would have little choice but to launch C-803 at it. The trigger is always in the hands of the USA and the moment they think they have an advantage they will press it.
USA will not allow China to dominate South China Sea and use it as SSBN bastion without a conflict.