It's a distinction without a difference. Musk is effectively an agent of the state, with billions in subsidies he wants to protect, and a Chinese auto market he is desperate to be allowed into.
The CCP would not miss out on taking advantage of the situation and demanding trade concessions for agreeing to sell. US government would absolutely be involved in raising the necessary finance, as banks won't be bending over backwards to lend Musk money for another speculative venture.
* If ByteDance divests their US TikTok operations, they create a new competitor that could potentially out-compete them in other (non-US, non-Chinese) markets.
* Whatever amount of money they get for this divestiture would be much lower than what the business is worth to ByteDance (when your options are sell or shut down, potential buyers will not feel the need to bid high).
* ByteDance's US TikTok operations are certainly of non-financial value to the Chinese government. That value is likely orders of magnitude higher than their financial value to ByteDance. Selling that user base is probably not preferable to shutting down. Influence campaigns are certainly easier to run on a platform you own, but certainly those campaigns are already running on Facebook, Instagram, Twitter, etc. Why add another platform that they can't control where they have to run influence campaigns?
The CCP would not miss out on taking advantage of the situation and demanding trade concessions for agreeing to sell. US government would absolutely be involved in raising the necessary finance, as banks won't be bending over backwards to lend Musk money for another speculative venture.