Losing electricity or phone service for a day is going to make people more angry at the utility or phone company, regardless of why the shutdown has happened.
And if a utility threatened to shut down service instead of complying with a new government regulation, you can bet the government would immediately jail anyone involved in that decision.
Sure, if that message is dishonest or manipulative, that's dangerous, but TikTok telling their US users that they're going to lose access to TikTok if they don't "do something" seems like a pretty reasonable use of free speech.
But at the same time, I don't like that companies have the clout to influence politics to the degree they do. But they have far more (and IMO often better) levers they can pull than what TikTok has done here, and I think those levers (campaign contributions, for one) are much more dangerous to democracy than stuff like this.
(For the record, I am loosely in favor of a TikTok divestiture or ban, though not for the reasons touted by the US government.)