Clothes iron, aye, there's the rub ( maybe ). It would be tuff to get a good even heat in the bending area, around the tightest radius corners. Because of the flatness of the iron.
when I'm bending, I like to visualize the heat as if I'm wearing heat seeking gogles. The point of contact of the iron would be the red-est, and losses color rapidly the further from the point of contact. With the clothes iron, at the tightest radii, you're only touching the edge of the iron with the wood. Super-heating that sharp area, only warming the area right next to it.Picture the infra red image.
Ideally, the area of the radius you would like to bend, should be the same temperature all over.
wet wood cools very fast, and I think the temp range for bending is narrow. Which might mean that using the iron in an "ironing" motion, trying to heat the area evenly by moving the heat source, might not work well.
So the iron was effective enough to warm the wood in those areas, allowing enough deformation to get the clamps on, but not heated to the point of allowing a set of the fibers into a permanent bend.