Stiffer?

Stiffness being the gradient of slope on force/displacement graphs before you hit plastic deformation. What will happen when you harden your steel is that it will stay elastic for longer and require more force before taking a permanent bend or breaking. This is often mistaken for it being stiffer.
 
Stiffness is a function of the geometry and the modulus of elasticity. Springs made from thick wire are stiffer than springs made from thin wire of the same material, even though they have the same modulus of elasticity. The modulus of elasticity is the slope of the stress/strain curve in the linear region and is not affected by hardening, so the stiffness is really just a function of geometry for knife blades, and not the heat treatment.

Hardening does affect the yield strength, which is the point in the stress/strain curve where plastic deformation occurs.
 
These blades are from years ago when Paul Long and I were developing his skiving knife.

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The 63 is the hardness of these AEB-L blades. This type of leather skiver is used flexed:

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I'm not very handy with one of these but they do skive leather:

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