Sawdust,
As ProfChris points out, its all about control. Thin pieces in a conventional steamer will release their stresses in all directions, resulting in multi-directional curl.
Luckily for us, thin pieces will bend before they char, (mostly), when applied to an iron. This is only true up to a point of thickness where they will char long before they bend. This is why it is necessary to steam cook larger cross-sectioned pieces for long periods before they become supple enough to bend.
Some luthiers utilise steam in 'iron' bending by pre-dampening the pieces, others do not. This may be a species specific choice. I give everything a light misting.