I imagine it has a lot to do with limiting the temperature. Under normal circumstances, I think it would be difficult to exceed 212F, and you can thus soak the wood and get even temperature throughout. Lignin softens starting at about 175F. But the wood will start changing chemically and physically at the cellular level at about 300F, so with dry heat you have to worry about even temperature, assuming it's coming from one side like a heat gun. Sometimes we want this differential change, like when heat treating the belly, but maybe not with bending. If I recall correctly, 300-400F can increase compression strength but 400F starts to weaken it. And I was also under the impression that steam dehydrates wood.
Just a bonus, if you heat wood with steam above 350-400, it will have different chemical changes than dry heat.
If you guys saw my other post, my masters paper is about thermally modified wood, which is basically wood cooked with steam or dry heat at 300-500F. Its not exactly the same as when we dry heat bows, but I suspect similar.
Key changes:
Degredation of hemicellulose (the part fungi like to eat)
Reduced hygroscopicity (ability to absorb/desorb water) due to the microfibrils in the cell walls contracting
Slightly increased lignin concentration, and condensed lignin
Slightly lower elasticity, greatly reduced breaking strength
In TBB, the author talks about wanting brown on the belly, not black. I think scientifically this is for two reasons. 1st, its getting the compression side much hotter than 400F so the compression strength is lowered, not raised. Second, its getting hot enough through the second half of the bow, the tension half, to change some of that wood, lowering tension and breaking strength. Double bad. As opposed to 300-400F chocolate brown, where the back remains normal and the belly increases in compression. Double good.
I hope all that is in alignment with the OP? I've read about 400+ pages on thermal modification of wood in the last week for my paper so I sort of eat/sleep/breathe/dream this stuff lately.