It doesn't take a lot of consideration to conclude that total freedom from consequences of speech is akin to all parties pretending that the offending speech was simply never said, which defeats the purpose of speech itself in the first place. So we can conclude that people want freedom from specific consequences of speech, not all consequences.

Once that distinction is made, one can argue about which consequences one should be free of. US law, for example, strictly ties the government's right to censor (i.e. being killed upon uttering any criticism of great leader is out-of-bounds) but the also-present freedom of the press and freedom of association implies private individuals' rights to refrain from sharing information or associating with various entities, and there is a, perhaps questionable, expedient that extends those rights from individuals to corporations in the US (being fired upon uttering public criticism of dear CEO is, except for specific carve-outs mostly paid for in blood during union strikes, acceptable; a corporation is not the government and has no obligation to continue to serve an employee at odds with the corporation and what it stands for, while governments have no such luxury and must serve even their "malcontents").