I know that Dual-BIOS itself has nothing to do with unlocking. In my limited research(I don't have or pan to have a 6950 so it's not something I really looked into) I though that only boards that were based on AMD's reference design were unlockable. The lack of a Dual-BIOS switch means the board is not reference. I assumed that IHVs would take measures to not allow unlocking on custom designs so they could try and get more people to buy their 6970s.
the point of seeking a reference design 6950 was because it was built on the same pcb as the reference 6970.
by downloading and flashing a copy of the reference 6970 BIOS on the reference 2gb 6950, what allows this to work is that the 6950 is the same design as the 6970 down to the PCB level.
so, by flashing to 6970 BIOS, we modify the 6950's shader count to 6970 levels, and modify the voltage going to the video memory (framebuffer). this voltage increase is why people are having problems with their flashed 6950's.
when we consider non-reference designs, if you flash a reference BIOS i bet you will get a big, fat, no-POST. with all the different reference designs, it becomes difficult if not impossible to find a 6970 BIOS that will work.
but we can also accomplish the goal of the 6970 flash by just unlocking the shaders, by copying and modifying our stock (non-reference) BIOS, and then flashing the new, modified BIOS to the card.
a beneficial side effect of modifying your own bios is that the video memory voltage does not get increased. as a matter of fact, the only value you should be modifying, is the shader count.
so, yes, it is possible to unlock shaders on a non-reference 6950 1gb model or 2gb model, bios switch or not.
if i had a 6950 i would definitely try to mod it. i think the risks are minimal for the enthusiast, as they know how to simply recover from an unsuccessful attempt. i originally did the 9500 to 9700pro mod, and the love the idea of free shaders and better performance.
ive read (other) forums out there where you can upload your card's BIOS image, and the helpful people there will modify it for you. or perhaps it has already been requested and posted for your card.