Carbon build up is likely from a rich mixture...which is normal when you start a cold engine with the choke out. Once it is warmed up and you are driving, then it should burn off. If you just started that engine and ran it until you saw the steam under the manifolds, then I would not worry about the carbon. It was running cool and rich. A leaking manifold would induce a lean mixture, which would make starting harder, and raise the idle speed to the point you might not be able to reduce it. A lean mixture normally would not build up carbon.
Wet carbon would be from a mis-firing engine. But yours looks dry to me.