I only have one SEF Coil (12x15), but here's my view of the differences from a hunting (not electronic) viewpoint. My "artwork" is hardly the best, so bear with me please. :
As depicted in the drawing below, the shape of the Transmit and Receive coils are "D-shaped", placed back-to-back. The narrow "detection area" (my term) is indicated in RED. The narrow area allows for excellent target separation and provides the maximum minimization of the effects of ground minerals. However, the detection area (square inches) is considerably diminished.
The SEF coil has the oval Tx and Rx coils overlapped to create a wider detection area...shown in RED.
The SEF is (IMHO) a compromise between a traditional concentric coil (CC) and a DD. It offers better separation of targets than a CC, but not as good as a similar sized DD. The SEF is much less prone to the negative effects of ground minerals than a CC, but can't equal a DD in that area.
So, why even bother with an SEF coil? The answer is (IMHO) a larger detection "footprint" which results in increased depth when compared to a comparably-sized DD coil.
My limited SEF experience shows that the SEF is superior (depth-wise) to the DD in light-to-moderate ground mineral conditions. However, in areas of high mineralization...the SEF does not perform as well as the DD when seeking deep targets.
I know Cybersage has done a lot of good work with both SEF and DD coils in his test garden. Perhaps, he can offer some more insight than my overly simple viewpoint.
Hope this helps.