Steaming works well for bending wood and even for drying wood. But so far as I know, it does not harden wood, other than as the result of drying wood. IMHO heat treatment is for plasticizing and "compacting" lignin in wood to increase its compression strength.
BTW I just realized, if it is really by "compacting" or at least rearranging, I might need to keep the belly down over a source of heat for better result, to allow the gravity to "compact" lignin inside to the bottom of the belly. I have been heat treating with the belly side up. This might be of little significance or rather difficult to verify. Where are all the tree scientists when we need them?