Jeremy,
There are severall advantages to the style bow,at least for me and my style of shooting.They are easier to make and tiller for me,in that,i dont have to worry about makeing a limb longer,or handle placement or positive tiller,that you see some,concerned about in static handled bows.They are generally,less complicated to lay out and tiller.
Shooting?
I actually like them better than statics,as i dont use a full contact grip and dont see the need,for all that handle and mass in a bow for my style.In my oppinion,they are less likely to create torque at or after the shot,especially when a minimal style grip is used.If a full grip is used,a buildup can be added for comfort.
Longevity?
I believe they have a better chance of long term survival,as the stress is more evenly distributed,provided they are designed and tillered properly.