I view backings as something to prevent the bow from breaking allowing for a more stressful design. I never understood backing woods with a wood that has similar properties. Like backing Osage with hickory or something like that. It would seem better to skip the laminate step and just leave it an Osage back unless it was violated or something. If you have dissimilar wood I can see it working better like hickory and ERC. Which puts the wood where it works best. Hickory is a strong and elastic tension wood and ERC has good compressive abilities. Therefore the combination can handle more stress than either could on their own. I've actually never tried hickory and ERC but it sounds like a good combo, someone who has should tell us if it actually works or not.
Other backings are usually much more elastic than wood (sinew, flax, linen, etc.) so they should help prevent the bow from breaking if you feel the design is overly stressful, considering the outer fibers handle the majority of the stretch/stress comparatively.