I don't know exactly about the answer to the original question, but let me share an experiment I did once.
I wanted to make a slightly deflexed bow with parallel limbs for most of the length, and super tiny, skinny, pretty sharply angled tips, like molly tips, but with about a 60° angle and 10" long or so. No, I don't remember why I wanted to do something this odd, but it was early on and I was learning. I know I was interested in figuring out limits back then. I still have the bow.
So, I backed some QS black locust with hickory, bent the tips in both, and glued up. The tips ended up really skinny, less than 3/8 wide the whole 10" of length, and maybe 1/4" at the nocks. Also, only about 1/4" front to back at the tip, and maybe 1/2" thick where they kinked at the recurves.
ANYWAY, they bent sideways like tall grass in a high wind. So, trying to save the bow, I actually sanded the tips down even more, side to side, like 1/4" side to side, maybe less. I left the very tips alone. Then, for each tip, I made two 8" long stays out of bamboo garden stakes. I ground these 1/16" thick-ish.
Here is the cool part!!! I took these little bamboo slats and bent them over rind down, on a form I had made for R/D limbs, and cooked them in place with a torch. I torched the pith side. Then I went back and applied them to the SIDES of the skinny limb-tip with TB III.
See, I cooked them into a curve, then Perry DEFLEXed them in place, really just to straight. I was hoping that by adding the curve first, then gluing/clamping them flat, the slats would be pre-stressed enough to really stiffen the limb tip laterally. It WORKED! The limb tips were about the same width as before, but WAY stiffer side to side. Get it?? Lateral Perry reflex.
Sorry so long winded with no pics, but I have since wondered if the same technique could be used to raise stability and lateral stiffness in a limb. Say, for instance I wanted to do a bamboo-backed R/D with some belly wood or other. What if I ripped the belly lam in half lengthwise, right down the midline. Then imagine if I used various clamps to curve each half away from the other and heat treated it in place (or even did multiple laminations laterally like a side to side Perry reflex, meeting in the middle.) When I pull them back together side to side, then force reflex them into the R/D form, I'm wondering what that would do as far as both lateral and torsional stability of the limb?
I do know the same trick works on arrows. I made some high spine, skinny arrows using the same trick.
Anyway. I'll put it on the list.