Fermi check: Mu metal boxes are only good enough to reduce the influence of this planet's magnetic field, not eliminate, and that's a really weak field (in terms of flux density, it's of course also really freakin gigantic).
Well, they are used in electromagnetic shielding but you'd need an awful lot of it to overcome the kind of field that even a single winding of a superconductor puts out, my intuitive guess is that for any realistically available level of shielding that the magnetic field would punch right through it as if it wasn't there at all.
Just look at what happens if you leave something made out of metal lying around near an MRI machine when it is switched on and that's not for want of attempts to shield it.
