I just don't "get" this 4D path thing. Sorry. Maybe it's because I've lived with the Williamson / van der Mark electron for so long:
Image from Is the electron a photon with toroidal topology? by John Williamson and Martin van der Mark
It's a three-dimensional steady-state vortex solution with no singularities. Like a Hopf fibration:
Public domain image by David A Richter, see Wikipedia commons, caption: Some of the flow lines along a Hopf fibration
I have difficulty getting to grips with a fourth dimension. I think of Charles Galton Darwin's the electron as a vector wave where “it is possible to regard the wave of the electron as in ordinary space” and I struggle to think of it as anything else.
I don’t say it’s easy to visualize it, it’s “mind bending” and that’s perhaps why Wyttenbach’s idea is so good and so hard to digest at the same time. The vortex soliton you talk about can also be looked as a 3D projection of paths on the Clifford torus. One has to understand that all models are just tools to try to understand reality, and if the model provide better predictions one can use it to expand it until a new model is thought to fit better reality.