I think it's a neat idea but I have no idea how it is staying together Are the edges of the back one ring?
It is hard to understand what you see happening on the tillerboard. I expected it would explode long before half of the draw length.
For the ash bow, the cross section is about 15% higher than in a flat limb with the same width. Due to the shape there is less material, but this material is further away from the neutral plane. So maybe tension is a little less.....I guess!
And other forces are working too. If you bend a half bamboo pipe this way, it will suddenly flatten out and split, not break. Now, bamboo is a wonderfull material with different characteristics than wood, but maybe something alike happens in this bows.
In the ash and hickory bows, the back does not follow the grain for 100%. In the elm, the ridges follow one ring. But has two little flattened knots on the ridges. The staves were originally selected for 'normal' flatbows.