Eve, The Witch?

At the end of Why Superstition is chiefly found in Women, it stated that basically Eve was kinda like a witch. "His name was Death. For though the devil tempted Eve to sin; yet Eve seduced Adam. And as the sin of Eve would not have brought death to our soul and body unless the sin had afterwards passed on to Adam, to which he was tempted by Eve, not the devil, therefore she is more bitter than death" (pg 187-88). As I read, I linked back almost every characteristic that a wicked woman, aka a witch, would have back to Eve. For example, "women are naturally more impressionable, and more ready to receive the influence of a disemboided spirit" (pg 183). So Eve was tempted by the devil and ate the forbidden fruit. Eve broke the one rule that God had...and it ended up making her more bitter than death?  It also states that women are basically as smart as children and have weak memories. Another thought I had was wasn't the Garden of Eden thing kinda necessary? Like when we talked about Hades in class, he was a nescessary evil. When the devil tempted Eve, she then began the whole domino effect of the human race being created. What this section states is that wicked women are "a foe to friendship, an unescapleble punishment, a necessary evil, a natural temptation, a desirable calamity...painted with fair colors" (pg 183). I feel like Eve was necessary, wicked woman or not, to a bigger picture. Yes, she intermingled with a demon, like most witches do...but does that make her a witch or just an enticeable person?