What is "fingerboard stability" supposed to mean? Is there such a thing as an unstable fingerboard on a stable neck, or a stable fingerboard on an unstable neck, where there is an evidence to uphold that assertion (if that is actually what is being claimed)? Is there a fingerboard somewhere in the world that continually bows forward and back with the weather, but the neck somehow doesn't move?
Furthermore, please describe a mode in which CF composite rods would be utilized to "stabilize a fingerboard," but not the neck.
And BTW, the statement, "[CF rods] provide no strength to the overall neck" is wrong. Factually, theoretically and empirically, provably, wrong.
Also, "you're doing that [providing strength] by having a mult-laminate neck" is also wrong if you're talking about just laminating multiple layers of whatever homogeneous wood you're comparing it to. Only if you introduce a stiffer wood than your original board will the stiffness go up. Cutting wood apart and gluing it back together does not magically change its inherent properties.
Oh, and while we're at it, strength is not a consideration in any conventional neck, as the yield strength is never remotely approached (forget the UTS or rupture strength!). Stiffness is the issue you're actually interested in.