I'm just trying to get my head around whether or not a, "false fallacy", must be true.
Hum:
"Dilemma-based arguments are only fallacious when, in fact, there are more than the stated options.
The false dilemma fallacy is often a manipulative tool designed to polarize the audience, heroicizing one side and demonizing the other. It’s common in political discourse as a way of strong-arming the public into supporting controversial legislation or policies."
I'm still non the wiser, but this seems a good example of how much political positioning happens these days!