I think, from your answer, that you calculate cross product of X3 and X4 to lie in the X1, not the X2 direction.
I did never say anything about X1,2,3,4 and how we should draw it.
Going to > dimensions 4 needs more abstraction than you are obviously used too. The drawing we discuss here has only one purpose. To show that the mutual perturbation of field vectors leads to a synchronous rotation.
Physically, as said there are no ring currents. We also can not properly draw planes in 2D from at least 5D space what is needed for 4 rotations. Further charge is topological.
So all boils down that either you can grasp the difference between 3D and > 3D or not. The real questions are much tougher than the ones you ask.