Hi Long,
Most professionals prefer to use an airless on "popcorned" ceilings, the reason is that there is no actual contact with the texture ( other than the paint) This can be important in high moisture content rooms like Baths or Kitchens. These areas can seem fine until a latex soaked roller makes contact with the texture. The texture can roll off in sheets.
You can roll the ceilings, but I suggest that you roll on a primer/sealer first. Use a solvent based primer/sealer ( at least in high moisture rooms). You may opt for an Acrylic primer/sealer for other areas. Do not worry about how the primer/sealer "looks" when applied, it may look steaky, but that is OK so long as it is covered.
Finish paint with a flat ceiling paint, the primer will hold a wet edge as you roll so the finish paint should "dry in" even.
Hope this helps
rmichael pro painter