Edgewise braces have become the standard in the orthodontic world and are used by virtually all orthodontists.
Almost all braces on the market are variations on the standard Edgewise braces. There are well over 150 different models available, each claiming to be the best. The difference in orthodontic work is in the operator, not the type of bracket used. If any dentist or orthodontist claim their braces give them a superior edge, this claim should be questioned. If one model was superior, the rest of the profession would not ignore this fact, and other brands would not remain on the market.
In particular I would caution patients about the claims made by some dentists using brackets capable of treating a patient in half the time. Like other claims, if this was true, it would be used by every orthodontist and dentist for treatment.