There are MANY words used to describe the types of facelifts available to people. Some refer to what is actually being done, some are just a name created by a surgeon. Irregardless of the terminology used, it is the surgeon who should be explaining to you how he or she performs the surgery.
I recommend asking for before and after photos, and discuss what you are looking for. Often terms like “short scar” or “mini-lift” do not mean what patients think, and may not give optimal results.