IMO, What causes something to look 'unnatural' to SOME people is the expectation (and that expectation can be subconscious) that the person look 'IDEAL' afterwards or have little to NO aesthetic deviations after a surgery. Probably due to looking at too many models who have a LOT to EVERYTHING going right or ideal on their faces.
The brain is actually HARD WIRED to 'want to see' a lot of distance relationship ratios on the face where even if we don't know what they are (technically, mathematically), we KNOW them when we SEE them. For example, MODELS are chosen for having them all (or most of them) and most people would agree they have the aesthetic 'ideals' we like to look at. So, I do think that WANTING TO SEE many distance relationships change to close to ideal after a surgery can actually CLOUD one's perception of what the surgery was aimed at doing.
In the case of the MALE in the photos, his surgery was aimed at correcting his SLEEP apnea (which it did). His Lefort 1 advanced his lower midface. So, he got some upper midface augmetation to counter possibility of that area looking MORE recessed to him AFTER the L1 needed to maximize lower jaw advancement. What people often critique in that guy's case is something the surgery CAN'T change which is the CLOSE SET eyes. So, it's actually the eye distance that CAN'T be changed which predjudices your appreciation of what the surgery actually was AIMED at correcting.
That said to really SEE the favorable changes in the guy's over all aesthetic, one needs to COVER UP the eyes. Put your finger over them in both photos so you don't see them and then you will see this is a very good aesthetic result given the CORRECTION he needed for the APNEA.
As to the FEMALE in the photo, well she did NOT get the upper midface augmentation the male got. Since her eyes are NOT close set, if she had same upper midface augment the male got, she would have looked better given her upper midface area looks RELATIVELY more recessed because the L1 area was brought forward.
In short, WANTING TO SEE on the total GESTALT of the face all the distance relationships that would make the total gestalt IDEAL or idealized resolves to wanting to see something that the surgeries are NOT aimed at doing or can't or just don't do.
The results don't look 'unnatural' to ME because I analyze them, look at them in TERMS OF what the surgeries done actually DO as their AIM and I look at them with NO expectation that they make ideal non ideal distance relationships the person might start with for which those surgeries are NOT aimed at changing.