You keep using this word "fallacy". I don't think it means what you think it means [1]
(a) a deceptive, misleading, or false notion, belief, etc.: That the world is flat was at one time a popular fallacy.
(b) a misleading or unsound argument.
(c) deceptive, misleading, or false nature; erroneousness.
(d) Logic. any of various types of erroneous reasoning that render arguments logically unsound.
[1] to paraphrase "The Princess Bride"