Well, maybe a bike for sightseeing. But a racing frame should be fairly stiff. Not so stiff that it is dead, but stiff enough so that not much energy is absorbed by the alloy and deflected from getting to the wheel. This is especially important in climbing and sprinting.
I guess it comes down to how "not to stiff" your alloy is.
One of our partners is a big bike racing guy ad he is having a cusotm frame made from our material.