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.
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.