Well, the right side can do that too, like crying "freedom of speech" for people saying nigger and then calling for harsh punishment for those who call them racists ;)
Really interesting, I have never though about anarchic rights, because here rights are always those who want more state when it comes to other things then companies - and certainly to people that are not like them. More border walls, more cameras, more rules (like language quotas in music), harshest punishments and so on.