I thought a key property of carbon fibre structures was flexibility - the ability to distort elastically under stress. In
other words, a low Young's Modulus.
For reasons of compressor case clearance and precise aerodynamic control, I would have thought compressor rotor blades must have a very high resistance to tensile stress; a high Young's Modulus.
Stators, perhaps. You could use them in the early stages, even if the temps were too high in later stages.