Does anyone even know about the Burning Times?
It's a term for the witch trials in the Early Modern periods. Most notably, the Salem Witch Trials.
What is scary about the Burning Times isn't that witches existed and good people got rid of them, it's that there were no witches, of course, and innocent people were simply getting tortured and murdered.
Some silly, long-limbed boogeywoman just doesn't compare to that. That's why the witch shouldn't have been shown.