Stoney, Load factor, or more accurately AOA would effect the numbers slightly do to the definitions of lift being perpendicular to Vel vector. And as you rotate the plane, the moment arms of tail and wing change in respect to the CG. I.E. (extreme example) when you are straight up, and your vel vector is parallel to the ground. You CL is now below the CG. Now drag is creating the torques and lift is not creating any. The same effects are happing at any AOA. But this is a very small effect and can be estimated by simply multiplying the additional lift with the cosine of the AOA.
HiTech