Specific strength is not always the only consideration. Strength over weight is the factor here, if a material has a third of the weight but also a third of the strength of another material, they have the same specific strength. Aluminium, titanium and steel are the metal alloys for aircraft construction, and they have roughly the same specific strength. There is a large variety within alloys of course, 2024 aluminium alloy has a yield strength of 324 MPa and is over 30 times stronger than pure aluminium.
A wing in flight is bent upwards by the aerodynamic lift forces, and this bending moment is resisted by the upper and lower skin in the wing. The lower skin is loaded in tension, the upper skin in compression. With a tension loaded construction, we're only concerned with the cross sectional area: how much force does it see, in order to get to the yield strength. With a compression loaded construction however, the failure mechanism is not yield strength but buckling.
In order to prevent buckling, we need a larger cross section than what would be necessary for pure yield strength, and this cross section is the same regardlessa function of the material usedelasticity modulus, not the yield strength. So fornow the ratio of weight over elasticity sets the dimension. For compression, purely the lightest material isaluminium has the best, and ratio of the three metals mentioned above that is aluminium.