Well, nearly all optics - scopes, red dots - are designed to be parallax free at a certain distance, assuming the designer put any thought into it at all (and it's not adjustable for parallax). That's not what makes red dots better for pistols (AR or otherwise).
The advantage of red dots is the larger dot for faster target acquisition, as Wally said. Assuming the designer and manufacturer gave it more than a passing consideration, parallax isn't a tremendous issue at close ranges. The error is smaller and users typically don't need extreme precision.
There are limits, though. Obviously, if you looked through at a 45-degree angle and were still able to see the dot, the pistol won't hit where you "see" it. But by learning your gun and developing good muscle memory to keep it close, parallax (within the limits obtained by a decent maker) shouldn't hurt.