According to my reference material, “Mechanical Metallurgy” by G. Dieter, page 334, and I quote;
"The modulus of elasticity is determined by the binding forces between atoms. Since these forces cannot be changed without changing the basic nature of the material, it follows that the modulus of elasticity is one of the most structure-insensitive of the mechanical properties. It is only slightly affected by alloying additions, heat treatment, or cold work."
You did not mention how much change in the elastic modulus or expansion you observed, nor how you tested the diaphragm to obtain these values. I would imagine there could be such a small change that it is within measurement error.
I would certainly think that your measurement of strain in the diaphragm would be more affected by cold work (or residual stress) as edstainless mentioned.