cyclone mitt works better because it does. The material on it is meant to pick stuff up while also allowing good release. Apexdetail on youtube has gone over various wash medias and his favorites has been the Big Red Sponge and the Cyclone mitt. The BRS was the softest and had the best release properties with rinseless wash. The Cyclone mitt had 2nd in release properties, but from my experience the cyclone has better pick up ability just due to it being a microfiber.
My technique has been to go over the entire car with the ONR and Red Sponge at least once (1st Wash). Then Wash a 2nd time with a Eagle edgeless towel (or Cyclone Mitt) + ONR to pick up anything the Big Red Sponge did not. The 2nd wash should be even safer because the first wash picked up most of the initial stuff that can be picked up.
Also got to use some sense here, if I see spots of grease/mud on the car, I'm gonna spray it down with a hose, then possibly spray power clean (let dwell), then hose off the Power clean before starting the 1st wash with Red Sponge/ONR.