Re: Overhand vs Underhand
There have been several debates over this in previous postings, you should be able to locate several with the search function. They basically came down to amateur reports of how much power people thought they could get in either position, musings about exposure to danger in either position, and references to various artistic representions from the ancient world depicting one or the other posture.
And I think you're closer with the quickness/power than with the shield design or anything else. Shock troops were most likely to use the overhand, if that's any indication. Peace.
Re: Overhand vs Underhand
Fatigue, reach, control and defence are the main differences.