Young's modulus is the stiffness and for a given material, comparing different shapes of the same weight, the modulus will generally be proportional to strength.
In the elastic region we sometimes call this a spring where in Hooke's law, the stiffness is proportional to the spring constant.
For the same material, comparing hollow tubes to solid cylinders, stiffness is a very good way of comparing strengths.
In accuracy, the stiffness is what counts. Recoil does not break guns, it bends them.