The actual term "orthorotation" is used in reference to 90 rotation of multidimensional spaces. One example would be production of a scalar electrostatic potential. In this sense, it is not the same as a phase shft.
While electricity and magnetism are functionally related, as you state, they also can exist independently of each other. For example, electrets and permanent magnets.
Irrespective of these points, I am unsure why my inquiry can not be addressed as stated, or how to explain it more clearly.