> Freedom of speech, at least in the US, is a concern specifically with the government censoring citizens' speech.
Well, no -- you're conflating "freedom of speech" as a general concept with the first amendment as a legal principle. The first amendment is specifically the mechanism of law we use to ensure that freedom of speech is respected in our interactions with the political state.
The first amendment doesn't apply to our interactions with each other outside of the political sphere, but that doesn't mean that we don't also have expectations of conduct and cultural norms that uphold freedom of speech via other means in non-government contexts.