Not sure if that distinction applies here. I understand that the 1st amendment doesn't protect you from a company refusing to publish what you've said - that makes sense. But this is a case of a company attempting to use commercial law (created by the government) to cause someone else to stop their speech. That seems like a simple violation of the "Congress shall make no law respecting an establishment of religion, or prohibiting the free exercise thereof; or abridging the freedom of speech"
But idk because i'm not a lawyer and we have copyright and ip laws so clearly congress can pass SOME laws that prohibit speech. Free speech absolutism is weird to me