Low frequency or high can be given a magnetic shield, as has been stated; it needs to be within a closed area e.g.
a Faraday Cage.
However, it's much easer to shield at Radio Frequencies, due the outside magnetic skin effect, but at very low frequencies with bi-polar magnetic fields, the need for more thickness within an enclosed shield area is required.
The type's of Mu-Metals for low frequency are normally intended for AC audio applications, or low field strengths, thus at a fixed current field, a substantial and enclosed metal area with thickness is required... due the deep field penetration at low frequencies or bi-polar magnetic field.
The pipe under test is being allowed to form a magnet, because it is an open ended round section; if you were to
bend the pipe into a circle and join the ends together, then provide two small holes just big enough for the wire
to pass in and out of the pipe, you would find the magnetic field would no longer be detectable, by reversing the current... all that should be present is the residual magnetic field set-up before and after your first experiments, where the internal atomic structure domains within the metal, have been aligned to form the magnetic field.
Although in reference to the Atomic Structure, their is much still not understood in this area.