>If gov speech is inherently coercive, then the gov is NOT allowed to make that request. (which feels dumb to me) In reality, it's more likely a court would hold they can say that; they just can't imprison the publisher (or audit their taxes more aggressively) as a result.
Governments absolutely can be coercive, but that doesn't mean all government speech is coercive.
Claiming (you're not, just expanding on your point) that government speech is inherently coercive is ridiculous on its face.
My local government sends me a "voter guide" a couple months before every election. By that logic, that means the government is coercing me to vote.
CISA[0] sends me multiple emails a day telling me to apply patches or mitigations to address vulnerabilities/security issues.
CISA is a government agency. By that logic, by doing the above, they are coercing me to manage my private property to their whim.
The CIA is a government agency. Their "World Fact Book"[1] argues against travel to certain destinations. By that logic, they're coercing people to only travel where the CIA wants you to travel.
There are hundreds (thousands?) of other examples of government speech that isn't coercive. Was there coercion WRT communications between the government and social media companies? I have no idea as I don't know all the facts of the case. And neither does anyone posting in this thread.
If the government was coercive, then let's (metaphorically) put them up against the wall to be shot. If not, then let's do it for real. /s
[0] https://www.cisa.gov/
[1] https://www.cia.gov/the-world-factbook/