Wow... Nice theory and logically laid out.
Of course, evil could be defined a bit more clearly. Man-made evil, which I would define as one person intentionally causing another person harm and/or grief, is easily provable as being evil. But 'natural evil' is a bit hazy.
By natural evil, I'm assuming you mean disasters like hurricanes, tidal waves, earthquakes, volcanos, droughts, tornados, insect swarms, plague, famine, hailstorms, etc.
For these disasters to be considered natural evil, we have to assume that a god or gods is deliberately causing these events with the express purpose of causing human misery. Now modern science has researched most of these phenomena and found that they have a cause/effect relationship. Earthquakes are caused by tectonic plates shifting in the Earth's crust. Meaning that these disasters would occur whether or not humans are present or not.
Earthquakes are objective, not evil.
Of course, all this is easily dismissed by the argument of "God allows Earthquakes to harm human and therefore is evil", but I just thought I'd make a small point.
