[superposeur]

As other commenters have said, whether or not an electron’s magnetic moment is “to do with currents” is a little open to interpretation.

I’ll add that the Dirac equation (governing electron field) correctly predicts magnetic moment given the inputs of charge and mass. * I interpret this as indicating that magnetic moment is a derived phenomenon just as it would be in the classical picture of a spinning ball of charge; I.e. the quantum picture refines but does not totally discard the classical understanding.

* Well, technically, sympathetic vibrations with all the other standard model fields also make tiny contributions to the magnetic moment.