As I have not actually been able to compare them in combat, this is purely about the combat strength that is displayed. But perhaps through this question I, and maybe some others, will learn something useful about how to optimize armies!
With the same army, if commanded by
Christian of Anhalt, ***2-2-2 general with no negative combat traits: 750 power
George Frederick of Baden, **3-1-1 general with two negative combat traits (Poor Defensive Strategist, Hothead): 803 power
Now I know that the combat power is just an estimate but why exactly is George Frederick stronger than Christian of Anhalt? Does initiative have such a large impact?