Well, many recirculating skimers ARE needlewheel
skimmers. A needlewheel is a kind of pump (or more propperly, a type of pump impeller). The impeller on a NW pump has protrusions on it, like this one from a Sedra pump.
The small needles on the impeller chop up the air sucked in through the venturi to create very fine bubbles.
A recirculating
skimmer has oneor more pumps that pull water (and air) from the bottom of the
skimmer and reinject it in the top of the
skimmer at a downward or sideways angle to increase the dwell time of the bubbles. This pump is different from the pump that feeds the
skimmer.
Take my
skimmer for example. It's a Deltec APF600. Water is fed into the skimer by an Aquaclear 30 powerhead, just like you might find in any display tank. Then, mounted to the side of theskimmer is an Aquabee recirculating needlewheel pump. This pump recirculates the water in the
skimmer AND injects the air for the bubbes in the
skimmer.

Pic courtesey o Deltec USA
The feed pump i not pictured here, but you can see the Aquabee an how it's hooked up.
There are some
skimmers out there that use a needlewheel pump to feed the
skimmer and are not reirculating. In those cases, he water and air mix are fed into the
skimmer by a needlewheel pump. Generaly, you get a poorer performance from many of these
skimmers because the air and water are fed into the
skimmer bu the same pump, and so it can not process as much water, and the dwell time is lower than it would be with a recirculating
skimmer.