Unstable: No offense, but you have missed the point. Your proposed experiment does not simulate the situation accurately. A set of blades that balance perfectly on the seesaw but have different spanwise CGs may well be of unequal weight.

Consider this: If you had two blades perfectly the same weight and CG on a seesaw balancer nice and level, and you place one of two identical lead weights on one of the blades at the tip, while placing the other identical lead weight on the other blade at the root, the blades will still have exactly the same weight, but will NOT balance on the seesaw. This is the point that your experiment fails to address.

Actually, after giving this much thought, I think it is entirely possible that Nate is correct. If no one else has tried it, I plan to do so and will report back on the results.