It seems clear that Superficial Health Damage is halved before applying it, and that fact is referenced several times throughout the book. But by contrast, I don't see anyplace where it references halving Superficial Willpower Damage. The "Unless otherwise stated, divide Superficial damage in half (rounded up) before applying it to the tracker." passage on page 126 seems to apply to both health and willpower, but I don't see that explicitly spelled out.
Is Superficial Willpower damage halved before it's applied?