Yes, a DD coil will help any machine handle minerals better but high frequency machines in general (no hard and fast rules here) tend to have more trouble with ground minerals, resulting in less depth or erratic IDs. The ability of Sovereigns to handle just about any kind of ground conditions (minerals, iron, hot rocks, black sand, etc) and still achieve great depths and proper IDs is only partially related to using a DD coil. BBS technology with it's multiple frequencies doesn't handle the ground signal in the same way as other VLF (very low frequency) machines such as the MXT/M6, and just about any other machine out there. BBS machines take a picture of the ground and then compare that to the picture of the ground with the target present. That allows them to give greater depth, handle worse ground, and yet still give proper IDs. As an added bonus, having multiple frequencies not only allows it to hit harder on a wider spectrum of metals (never dug so many nickles than I have with my GT) at greater depths, but those numerous frequencies also can be the very reason WHY it's penetrating deeper. Certain specific frequencies will bounce off or not "see through" the ground matrix as well as others at certain sites. You might say have one spot where 3khz gets best depth for copper/silver, while at another site 6khz does, or say 14khz gets best depth on gold and nickles, where as 18khz does at another spot. One machine stuck at one frequency (M6/MXT, and just about anything else out there) won't get best depth or hit hardest on certain metal types for that reason. Other machines, such as the DFX/V3 have 3 or 4 frequencies to try to do better, but are still prone to the same problem. Still yet, if say the low frequency best for silver/copper at a site is being "blocked" by the ground minerals then it's out of luck since it doesn't have other nearby frequencies to compensate, where as the GT does...in 1.5khz steps.
On the other hand, the Explorers have even higher and more frequencies than a Sovereign, much higher than what is needed for good gold sensitivity. While this can be a help at some sites, I found those extra/higher FBS frequencies to more often than not be a minus for stability and depth for me. Translation- I'm getting deeper with my GT, and also recovering coins that my Explorers flat out missed at spots I've gridded from several directions. That's me, the way I hunt, in my ground conditions (most common being moderate to high mineralization). Others with different soil might not see that difference where they hunt.