Most scopes with fixed parallax are, none-the-less still adjustable. That's kind of handy when you want to run a big game scope on a rimfire, or just aren't happy with the way things are.
Using Leupold as an example; look closely at the objective lens housing. The gold ring is actually just a washer; and everything in front of it is just a glorified thread protector. Un-thread that and the lens-carrier assembly is exposed. You will see two little notches where a hacksaw blade makes a good improvised adjustment tool. You may be able to just spin it by hand though. Turning the threaded tube outward brings the parallax in closer, screwing it in the opposite. A quarter turn is a lot. Put the thread protector back on and you're done.
Dogleg is telling you something on different levels here.
He's right of course.
Just be very careful how you go about making the adjustments described and make some sort of witness mark, that won't get rubbed off, where the original setting is.
AO is basicly taking the focus between the objective and ocular lens and taking out the distortion, which is not detectable, other than your reticle moves when your eye moves.
Keeping your eye in the same position for every shot is a pipe dream. Only a few one offs can do it well.
If your scope has parallax, which is usually very noticeable at very close distances or very long distances, one way to keep the distortion down is to move your eye back as far as possible, which will reduce the field of view but will basicly be doing the same thing as adjusting the objective lens, other than you don't have to adjust anything to what you may only need on a very odd occaision.
If you're a match shooter, an adjustable objective is very handy.
If you're a long range shooter on occaision and understand how your AO works and how it affects your POI after it's adjusted then it's desirable.
If you're a normal range hunter, who keeps their shots around 300 meters or less, it's doubtful AO is going to do anything for you that can't be worked out by keeping your eye further back from the ocular lens, while in the field.
Most hunting scopes are set to be parallax free at 100-200 meters, depending on the brand and the mood of the person on the assembly line.
If you're a varmint hunter, rabbits, gophers, coyotes and such then AO may be handy for you as well.
For 99.9% of the shots taken by 99% of hunters, AO on a scope is just something else that can go wrong when you least need it to happen.
A couple of years ago, I watched a young shooter, my grandson, miss the opportunity to take an easy 150 meter shot on a nice WT buck, because he convinced himself that he had to adjust his parallax.
I like long range shooting, I like accurate rifles and played the Bench Rest game for quite a few years. It's addicting. So is the accumulation of "uneccessary" bells and whistles, such as level bubbles on your deer/moose rifle that will be used at ranges under 300 meters.
A deer/moose isn't going to notice if the bullet that takes it down is a couple of inches to the left/right or up/down, as long as it's in the kill zone.