Well I am not going by theory just by my experience mostly with my DFX and a little with my VX3 (only have about 20 hours on it). I routinely was digging pulltabs at 10 or 11 inches with my DFX at Hampton Beach, NH at at Salisbury State Beach in Mass when it had the 6x10 DD on it. I switched to the 9.5 concentric and didn't find anything that deep though I didn't leave the concentric on very long as it really felt like I was missing targets that ought to have been there and my hunting buddy Bernie was finding a normal number of targets with his V3i with the 6x10 on it.
The beaches around here have a lot of black sand in them, for instance Jenness Beach in Rye NH has sand that is dark grey-brown. Also there is some mineral in the sand that is heavier than the rest of the grains of sand and on places exposed to the wind the rest of the sand is blown away just leaving a skin of this mineral and it is a dark purple, or plum color. In fact there is a coastal island just down the coast a few miles at the mouth of the Merrimack River that is called Plum Island because it gets a constant or near constant wind and the dunes there turn plum color.
Maybe the DD handles these minerals better but from hundreds of hours searching on the beaches here I can be sure that the DD coils do better no matter which model or brand of detector you use, whatever the theory says. Just about everyone that hunts there uses DD coils, it is very unusual to see an experienced detectorist (at least those with pro level machines) using concentric coils at any of these beaches. Of course most use multifrequency machines from either Minelab or Whites, since the single frequency machines have a hard time ground balancing against salt and minerals at the same time and there are too many nails and pieces of lobster trap wire for a PI.