Took me a long time to cotton on to the reasoning for this. I hope I finally have it right! Here is how I interpret it: It says in a few places that wood will compress or stretch about 4% without taking too much set or breaking. Now with the parallel limbs, the thickness has to taper, or all the bend would be at the fades. Another thing is, the thicker the wood, the more the back has to stretch and the belly compress to match a radius of curvature. So; the upshot is, the thicker wood near the fades, bends less to use up its 4% than the thinner wood of the same width closer the tip. If the limbs are parallel, and you have an arc of the circle tiller, or more bend at the fades, even, then you're either overworking the near-fade wood, or you're underworking the near-tip wood, or both! So the worst case, if the wood doesn't break, is a high-set bow with heavy outer limbs, which would give you a sluggish bow.
Contrast this with a well-designed pyramid bow that has no thickness taper. That's why the arc of the circle tiller works for it: all the wood is doing it's proper 4% part.
Hope I'm making sense here!