Poor Dave, like so many midevil clerics, he seeks metaphysical justification for physical situations. The Earth must be the center of the universe, because all things are balanced that way; the moon must be perfect, and can have no mountains, because it is an example of heavenly perfection. Symmetry is a measure of perfection, and so all things good come from it....
There is no system in the universe that has symmetry, none. The very rotation of the electrons within the atoms illustrates this. The creatures that Dave cites are not symmetrical in any real sense, and neither are the machines he mentions. Why not seek vertical symmetry, if symmetry is important? Why do all those vertical irregularities escape your gaze?
Seek practical answers to real problems, not theoretical "improvements" for machines that work! And try actually building the machines you advocate, not publishing the concepts in theoretical tomes.
I suggest, Dave, that you just build the machine that you love so passionately, and show its excellence. The world will beat a path to your door if it flies as well as you believe! You will recognize the path, it will look like the one that leads to every other helicopter plant in the world.