Supermumetal has very high incremental permeability at low fields, but saturates quickly. This makes it excellent for small signal transformers, as you can get the needed winding inductance from a smaller number of turns, so the interwinding capacitance and the stray inductances are all small, giving a very wideband transformer. Large current levels will lead to non linear bahaviour.
Very wide bandwidth is a disadvantage in a power transformer - it just lets more interference through, and the power density needed can easily saturate something like mumetal.
Now, I don't have the full details on these cores, but would need to see worked numbers to be convinced that they would be good for mains power.
If they are 6" in size, they might make a fantastic output transformer for a valve power amp output stage - it would have to be a push pull one, as there is no air gap in a toriod, and so a SET would just saturate the core, negating the advantage of the mumetal.