There isn't a "right' answer to your question. It depends a great deal on your eye position in relation to the axis of the scope.
When you look through a scope, the objective lens projects an upside down/reversed image behind the objective (the 1st image plane).
The next lens or set of lenses (the erector cell) takes that image and flips it again so it's right side up, projecting it a little further down the scope (2nd image plane).
The next set of lenses (the zoom group) adjusts the image to the desired size, and projects it a little further down the tube (the 3rd image plane).
The 3rd image plane is where the reticle is, and the eyepiece focuses on the reticle and the image at the same time (when there's no parallax).
If the image isn't focused PRECISELY in the same plane as the reticle, you have parallax. If your eye is perfectly aligned and centered with the axis of the scope tube, it won't make any difference to you in most circumstances, but if your eye is off at all, it can cause you to miss.
Whatever error (parallax) exists in the image projected by the objective lens is multiplied by the power of the scope. In other words, if the objective image is 1/10 mm off (negligible), with a 36X scope it will be focused 3.6 mm behind the reticle, and that is a HUGE amount.
Parallax is corrected by moving the lenses forward or back, so AO has no affect on light transmission.
One thing you should be aware of with the side adjusting scopes is that you should always adjust them down. Take the adjustment to infinity and then back it down, i.e. you can adjust from 600YDs down to 200YDs no problem, but when adjusting from 200YDs to 600, you want to take it all the way up to infinity and then come back down to 600YDs.