The dot does move a little.
I don't know if it is just an illusion, or if there is parallax - but it is normal and they all do it.
The idea is that at the range the optic is used, it is essentially parallax free. The closer the POA, the more you see movement, but the less it matters. The farther away, the smaller the movement.
It doesn't take much distance to make it pretty much zero shifting.
There may be some effects from the camera at work too, but every aimpoint I've used does this.
As stated above, I don't know if it is actually parallax, but the way it was explained to me is that it is.... but it is essentially parallax free due to the fact that it is almost zero and shrinking the further out you use it.