Markets work best when there is transparency: for instance adding MPG to car labels helps "the market" make good choices by informing customers at the point of sale. The law which dictates an MPG sticker is "the government getting involved".

Another example: trademarks allow superior brands to win over time. The enforcement of trademarks is "the government getting involved".

The market is no longer free when China is involved. They'll gobble American market share (and use that market share to further their political goals) while completely blocking out American companies from the Chinese market.

Nobody would care if TikTok were Taiwanese or South Korean.

The free market is usually predicated on rational actors. I don't think the target market of teenagers fits the bill, nor does any market, really, once propaganda enters the picture.