I have NEVER seen AIO remove any swirling. I also never really noticed any filling (hiding) ability, but I would be more inclined to suggest they were hidden versus removed. Step up to a finishing polish for minor swirls like XMT1, SSR1, or Menzerna FP.
If you decide to go with Meguiar's, go with #80 Speed Glaze first for minor swirls. The rule of thumb is to always go with the least abrasive polish needed. #83 a more abrasive than #80. Go with #80 and if that doesn't do anything, then go with #83.