If you're shielding to the outside world, not sure it makes a difference. For example, I couldn't find much difference between metal thickness A and two sheets of metal thickness one half A. Unless you separate the sheets quite a bit. As shielding with the high perm it can 'spot' saturate and thus have fields punch through, recommend adding a layer of mumetal to catch remnants.
If you make a toroid out of it [careful, work hardening by bending 'destroys' the goodness, too]; make a 3 winding core, primary, secondary, and 'control'. Drill a hole through the wrap so you can wind a figure 8 coil to the outsides and through that hole, call it, 'control winding'. Then locally saturate the core using the control winding with a high current, low voltage drive. Think like you are mechanically creating a huge 'air gap' at the saturation region. Just like physically opening and closing a gap. With the primary and secondary winding on the rest of the toroid, you end up with a DC-DC transformer [if you do the supporting electronics right]. Makes for a very interesting little isolated interface.
When I say work harden, I mean it. I had perm go from 1Meg down to 100k with just flexing less than ten times. However, in the torroid application, no biggie.
From memory a toroid with its distributed air gap did not have as good a high frequency performance as different type of structure. The skin effect eats you alive at every turn [pardon the pun] with this material when it's used as 'gross' material.
I tried to get both vendors to make 2 micron 'beads' by splattering directly into the liquid nitrogen, passivate the surface of the spheres, then 'gently' sintering into larger core material to get high perm, no coercivity, and nonconductivity, but they were too busy making huge cores for the power industry to be interested. Even little wires would be better.
Any interest for your firm to do it? Or, somebody out there? we'd make a fortune! maybe as much as $10k, or even $100k. Boy has out-sourcing changed MY expectations! ;)