I'm not sure about the term "rotary", as it has many uses, but for sure the skis will be pivoting more (whether by applied torque at the boot or via engaging the front edges and slipping back edges), and there will need to be much more sideways skiing - the ski edge moving in directions that are not parallel to the edge.
I normally am a big fan of 0.5 degree base angle and 3 degree side angle, but I left my old P50s at 1 degree base 2 side because that works better in moguls. I suck at moguls, but I suck at a higher level with a softer ski that has a less aggressive tune.
If you need the same ski for carving and moguls, I would probably go with 1 base, 3 side, also a softer flexing ski works better in moguls. Hence SC, not FIS SL or SX.