This is an interesting fantasy fan theory that witches are sedentary and wizards are migratory. But what about the Wizard’s Tower? This thread explains in an absolutely brilliant analysis of wizards and their migratory patterns through the ages.
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Meanwhile, we have Baba Yaga, a witch whose hut is migratory.
Very binar tradwife view once again chaining women to the hearth. Don‘t like it at all.
Then become a wizard. Int 13 to multiclass in. Only penalty is fewer skill proficiencies
Nothing linking either to sex, could easily have male witches and women as wizards!