Regular skimmers of pretty much every other technology (downdraft, beckett, induction, venturi, etc etc) all use the pump that is feeding them with water to create the fractionation (foam/bubbles). This means that the pump feeding the skimmer usually has to be pretty big, and only operates at one flow rate - maximum.
A recirculating skimmer has a feed and a drain. Water gets introduced towards the top of the body, and gets drained out way down at the bottom. While all this is happening, another, seperate pump pulls water from the body, introduces air to produce the foam, usually with a needle wheel or mesh wheel, and rams it back into the skimmer body, usually directed to introduce a vortex current in the chamber. The centrifugal force of the vortex pushes the filth laden foam towards the outside of the chamber, where it rises easily to the top and is dumped off.
IMO it's a superior design in efficiency and it offers much greater control. The dedicated pump is tasked to produce tons of foam, it's not also trying to move water through the skimmer. It's usually external, reducing heat. The use of a separate feedwater pump allows you to set exactly the flow rate through the skimmer that you want.
My big reef has a huge Deltec AP851 running on it... this is a big skimmer, about 3' tall. All of the other skimmers in this range I researched had to have pumps so big that they pulled several hundred watts to run. The Deltec? 45 watts.