[BrianG]

Well, when I say that increasing the voltage yields lower current, I assume people know that is true [i]for a given overall rpm]/i] (which means kv has to be lower).

However, you are forgetting a valid point there in your calculations: gearing. Reducing or increasing the gearing effectively changes the resistance for a given kv. Geared high, a motor will pull more current, especially at startup, than a motor geared lower. Really, ohm's law still works, just not in such an obvious manner.