It really does put some basis around the theory that it is impossible to create a media product critical of fascism, because the fascist will simply glorify the parts they want and ignore the rest. I really do believe in the 'death of the author' for media analysis because of this tendency.
Lindsay Ellis's shit takes aside, she makes a very good case for parodying fascism (Nazism in particular). Fascists haven't appropriated Mel Brooks's lampoons of fascism. They unironically love American History X and sing "Tomorrow Belongs to Me". Nazis do not love "Springtime for Hitler" in the Producers or Jojo Rabbit because it makes them look silly and dumb. Fascists don't have a coherent ideology and build their ethos around telling themselves they are badass warriors, so parodying fascism by making them sing and dance like clowns is good.