I have had experience with the Super 12 but not the SEF line, but I do use a coil like them though. It would be very hard to compare the two coils because they are two different configurations, the Super 12 is a concentric and the SEF, a dual elliptical. Conical coils works best in mild to medium ground and the DD style works best in highly mineralized ground. The conical coils usually gets better depth, but the search pattern is reduced the deeper it gets in the ground, much like the shape of an ice cream cone. It is very important to overlap swings for best coverage in depth. The DD coils usually gets more coverage per swing, reducing the need for as much overlapping your swings but at a cost of less depth, EXCEPT in the case of highly mineralized ground. The DD coils will cut through the mineralization better than a conical. The DD coils puts down a pattern much like a half of a dinner plate on edge, a larger, (front to back), but a much thinner search pattern. Pinpointing with each coil is also much different.
Until the SEF coils have proven themselves with the White's line of detectors, I might suggest considering the Excelerator line of DD coils from Kellyco who are proven winners if you decide on a DD coil. If you want a large conical, the Super 12" is a dandy. I have read mixed reviews on the SEF coils, but I have used the 6" DD, 10" DD and 10X14" DD Excelerator, all being excellent coils.
I hope this helps.