The CCP could have input, if they chose to. Currently they choose not to. There is no party consensus that AI is the most important tech (Xi Jinping cares more about the "real economy," i.e. manufacturing) and there definitely is no consensus on whether models should be open-weight or not. If consensus ever emerges, companies that bet on the wrong horse will get cracked down on, just like AI companion products got cracked down on recently.