I think it's perfectly consistent to oppose government attempts to curtail free speech while also advocating for your place of employment to act in a way consistent with your morals and principals. Of course FB doesn't have to listen. But it's their employer, they have a social relationship, they can bring concerns to them.
Trump is the one wanting his cake and eating it too. He wants to be able to say whatever he wants on a private entity's platform, and also constrain the free speech of that same entity.