The following is my opinion. I have lectured on this very point to plastic surgeons at international conferences.
The Mid-Face Cheek lift is my favorite procedure due to its elegance and power in transforming the facial shape from aged deflation to curved youth. As we age,almost all of us lose facial fat. The pockets of fat in the face are not united, but rather separated by thin walls of collagen. As they go horizontally across our face in our youth, deflation results in the more vertical folds we see in age. High mid facial curves with a short lower eyelid vertical height is the characteristic of youth. The tightened flat cheeks and elongated lower eyelids of a face-lift that ignores the cheek lift is a sad sight to behold! Having praised the procedure done correctly - there is nothing it will do for your upper eyelids.
So, the options for effective mid-face rejuvenation of the cheeks and lower eyelids number 2:
1. Re-inflate each pocket of fat with a substance such as Sculptra, OR
2. If there is enough remaining fat in the fallen face, elevate the fat pads back to their original position through a Mid-Face lift.
Either way, the lower lids need to be addressed either with a resurfacing laser to shrink the skin, or a skin excision of the excess lower lid skin only.
Your question regards #2. I make incisions in the temporal (temple area) scalp and an incision inside the upper lip on either side of the mouth. Staying just on top of the mid face bones, the overlying soft tissue is re-suspended upward with sutures that dissolve in 6 months. The tissues heal to the bone in the elevated position and stay there until many years more of fat deflation occur.
My patients find this procedure to be not painful and extremely effective. The "downside" if there is one is that the cheeks swell creating a mildly "alien" appearance for a variable amount of time... usually less than 2 weeks. It may take up to a couple months before the patient feels comfortable with the results. By 3 months post-operatively, about 95% of my patients tell me it was the best procedure they have ever seen!