No, it doesn't have to be that way.
I have several junk Facebook accounts precisely for that use. Unless they decide to trace each of them to my IP address, it will work just fine as a way to guarantee relative anonymity.
And for those who loathe anonymity, I will say just this: political correctness and censorship are societal diseases, whereas anonymity is the epitome of fairness based on the value of ideas instead of that of power and personality.