I have found that DC and double-DC kites fly WAY better than traditional flat Deltas. I have a number of both, and that's been my experience. I've talked with others who claim to never have problems with regular deltas, but I find that they have a smaller wind range, and are not very tolerant of anything but smooth wind. Ghost or Pyro deltas are a different story, they are very stable in a wide variety of winds, but the traditional triangle delta is not a set it & forget it kind of kite, they will end up on the ground if not constantly tended to.
One exception to this in my collection is an 11' mesh delta, that isn't too bad, but still ends up on the ground unexpectedly. The DC and double DCs can be staked out and fly for hours, and will be in the sky where you left them unless the wind drops.
By far, this is my favorite, it flies in 5-25 mph winds, bumpy, choppy, or smooth... all day long.