I've noticed the bound bow spell has a remarkable draw time. making the perk almost worthless considering it is of daedric damage and it is EXTREMELY useful even in stealth combat.
And to clarify... I meant that the lighter the bow the quicker the draw when I said they went off weight. The bound bow having 0 weight means that it gets the fastest draw time possible. The bound bow also has... infinite free arrows.

The only downside is that is doesn't benefit from smithing. I like the more powerful bows because combined with smithing and sneak attacks you can kill most enemies in one hit. But in combat where there is an enemy running at you I could see the bound bow being the best.