There's no big advantage for hunting but no big disadvantage either. Most general purpose hunting scopes come from the factory set at 100 yards/meters. If you don't want to fiddle with the AO, then set it for 100 and leave it, it will be just like a 3200 without AO. In the field, if you are faced with a long shot and lots of time, then you can adjust the AO if you want to eliminate the small parallax error.
The disadvantages are:
- Price
- another knob/ring, which is a place for moisture to enter
- more moving parts means greater chance of failure
- looking at the 3200s, only the 4-12x40s have AO, and they are 2oz heavier then the 3-9x40
3x-9x is probably a more usefull power range then 4x-12x. 9x is enough power for any ethical big game hunting range, and 3x is better for quick close shots then 4x is.
Adjustable Objective has nothing to do with the power of scope, 9x, 12x, whatever. It only causes blurryness in extremly short ranges, 25 yards or less. (This is why AO is an important feature for rimfire.)
Parallax is the difference between what your gun is pointing at, and what you think your gun is pointed at, because your eye is not perfectly in line with the axis of the scope. You can see this effect by putting your rifle in a vice. Look down the scope, and move your head from left to right. You will see the crosshairs move slightly, even though the rifle is pointed in the same place. Scopes can be adjusted so that there is no parallax at a specific distance. Most scopes without AO are parallex free at 100 yards, or 150 for the higher magnification scopes. Rimfire and shotgun scopes are usually set to 50 yards.
AO scopes allow the user to select the distance that the scope will be parallex free - of course, they should be set to the distance of the next shot. So a scope with AO can squeze out a little more accuracy, but only if the user actually take the time to set the AO to the correct range. Leaving it at 100 yards means that the AO is an unused feature, and the hunter would have been better off saving his money.
Target shooters know the range they are shooting at, and they have the time to set the AO, and they are more concerned with accuracy, and they shoot at longer ranges. A big game hunter will prioritize reliabiltiy, weight, and light transmission. That's why the target shooters like AO, and hunter's don't really need it.