No, X doesn't have a corporate governance structure that requires Chinese government control, because it is a US company.
Companies in China (and especially those of prominence) have formal structures and regulations that require them to cooperate with the government, and sometimes require the companies to allow the government to intervene in operations if necessary.
It is not possible for a CCP official to show up to a board meeting at X and direct the company to take some action, because that isn't how US corporations work.
A CCP official could show up at a Tesla board meeting and announce they're going to seize Gigafactory Shanghai unless Musk takes down some content on X. There doesn't seem to be much of a difference.