The suture suspension lift most likely refers to a midface lift, and there are many ways to do this. You can do it in a minimally invasive way through incisions in the scalp by the temple area. All is needed are very tiny incision near your nasolabial folds to allow the sutures to pull up the middle part of the face. Data on how long this lasts is not sufficient. Most surgeons believe that effect is not as long lasting as other procedures.
A midface lift that is done traditionally can be done through incisions in the lower eyelid. This requires the middle part of the face to be released from the bone and then suspended to more superior structures. This can help the nasolabial folds and elevate the midface cheek fat. The results from this, in my opinion, are modest. The reason for this is that the midface issue is really mostly a problem of volume.
Fat injections placed in the midface is a good option but not entirely perfect. Implants can give the sufficient volume that is needed to replace what is lost in the midface area. But you have to feel comfortable with implants in your face.
The deep plane smas lift is very difficult to do and if you go to someone that doesn't have a lot of experience with this it could be dangerous. When done correctly, you can get a lot of release and pull on the nasolabial fold area and this can lift the midface in a more lateral and superior direction then just superior. Most surgeons believe that the deep plane facelift will last longer than any suture only facelift 2-5 vs 8-10 year or more respectively for the suture lifts vs the deep plane. These numbers are a pure estimation though but are somewhat supported by scientific review.