if you're long OTM calls, an increase in vol would increase your delta (converges to ATM) and if you're long ITM calls, increase in vol would decrease your delta (converges to ATM as well). So OTM calls have positive DdeltaDvol (Vanna) and ITM calls have negative Vannas. Following Nassim's example, if you're short OTM (below the money) calls and long ITM (above the money call) the book must have positive DdeltaDvol and not negative.
This is a Vanna graph from Natenberg's book to present a visual of the above. Can anyone please confirm this?