Few things give rise to the negative stereotypes of plastic surgery as much as does an eyelift. The eyes are the most beautiful and expressive part of the human face and are the focus of the most attention. The lids frame the eyes and convey much about the person's age, happiness, and fatigue. So it is exceedingly important that a blepharoplasty be done carefully and tastefully.
It is all too easy to remove too much skin doing a blepharoplasty, it is important for the eyes to close all the way so that there is not a problem with dry eyes at night. So removing too much upper eyelid skin is not just a cosmetic issue, but it can be a functional one as well. There is a myth that removing too much upper eyelid skin causes the "deer staring into headlights" look, but in reality that is caused by a brow being pulled high and not by removal of too much upper eyelid skin.
However removal of too much lower eyelid skin can create an unnatual appearing eye. In fact, removal of the tiniest amount of lower lid skin can change the eye's shape. The reason skin is removed from the lower eyelids is too smooth and tighten loose or redundant lower eyelid skin. The incision is placed along the edge of the lower eyelashses. But the lid itself is very delicate, and even tthe smallest removal of skin can sometimes pull down on the lower eyelid. When this happens, there can be excessive show of the lower outer white portion of the eye. The area where the upper and lower eyelids join can start to round out rather than being sharp and crisp. This creates an eyelid that is not just less attractive but unnatural as well. Few non-plastic surgeons would specifically identify this when it happens, but most all people would nonetheless have a sense that there is something not natural in the appearance of the eyelids.
A big culprit in causing eyes to not look natural is removing too much fat from the upper or lower eyelid. In some people fat bulges in these areas with age. It is important to smooth these out. Sometimes that means removal of a small amount of fat, and at other times it means the addition of fat in the depressed areas adjacent to the bulges. Historically plastic surgeons would remove all the fat they could, but this results in an overly hollowed out look which looks like there was surgery.
When you peruse Dr. Teitelbaum's eyelift photos notice how he achieves a substantial improvement without creating off-putting suggestions of there having been any surgery.