If I remember correctly, witchy wand specifically says that it blocks skills that grant special charges after cooldown, which means that special spiral actually won't activate if a unit using it gets hit with witchy wand during combat.
Just checked because I remembered that you can use the test defenses thing in Aether Raids as a battle sim, and Witchy Wand does neutralize Special Spiral.
Which it does, in fact, say it will do in the item's description. Thanks.