For the sake of the plot, choose whichever zombie type fits your plans the best.
there are a few big issues here.
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The consistency and efficacy of that pathogen
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those people wouldn’t be zombies, they would just be carnivores.
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if cannibalism/societal colapse/megetables are going on, people are going to notice.
there are already pathogens that make someone vegetarian, but because of the resilience of the human body, the effect only takes hold in a very low percentage of people introduced to the pathogen (they’re not sure which mechanism in tick spit prompts the meat allergy yet, afaik).
The brain is incredibly complex and can rewire itself, so to have even 10% of the population have consistently perfectly rewired brains while maintaining all other normal functions and the coordination to conspire, cannibalize people and change the global food supply is a pretty magical scenario.