Lets have a stab at this. I may be wrong as i have always just taken this for granted but to piece it together..
When you let go of the string the energy is transferred from the string to the arrow. Now, the arrow point is not immediately aware of this and does not immediately move, instead the arrow tries to store this energy by flexing/compressing, this is is going to take the path of least resistance so its going to bow slightly away from the bow. The alternative is it goes this other way and moves the bow over, not going to happen given the weight of the bow and the fact your holding it.
When the arrow is then in flight it will snake all the way to the target.
Any clearer or have i missed the point?
If you're wrong then both of us are. that's the way i understand it also.